Sommaire du Fascicule no. 3

Erratum: ``Duality and types of completeness in locally covex spaces''.

Jones, William B.

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Correction to: ``Maximal algebras and a theorem of Radó''.

Glicksberg, I.

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On stratifiable spaces.

Borges, Carlos J. R.

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p. 1-16

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Semi-algebras that are lower semi-lattices.

Barbeau, E. J.

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p. 1-7

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Minimization of functions having Lipschitz continuous first partial derivatives.

Armijo, Larry

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p. 1-3

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The existence of wave operators for nonlinear equations.

Brodsky, A. R.

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p. 1-12

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Some characterizations of exponential-type distributions.

Bolger, E. M. ; Harkness, W. L.

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p. 5-11

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The Klein group as an automorphism group without fixed point.

Bauman, S. F.

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p. 9-13

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Sets of constant width.

Chakerian, G. D.

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p. 13-21

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Approximation theorems for Markov operators.

Brown, James R.

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p. 13-23

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Frattini subgroups and $\Phi $-central groups.

Bechtell, Homer

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p. 15-23

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Topological methods for non-linear elliptic equations of arbitrary order.

Browder, Felix E.

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p. 17-31

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On indecomposable modules over rings with minimum condition.

Colby, R. R.

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p. 23-33

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A convergent gradient procedure in prehilbert spaces.

Blum, E. K.

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p. 25-30

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Quasi-isomorphism for infinite Abelian $p$-groups.

Cutler, Doyle O.

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p. 25-45

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The sum of two independent exponential-type random variables.

Bolger, E. M.

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p. 31-35

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Exposed points of convex sets.

Choquet, Gustave ; Corson, Harry ; Klee, Victor

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p. 33-43

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Contraction semi-groups in a function space.

Dorroh, J. R.

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p. 35-38

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Images of measurable sets.

Bressler, D. W. ; Morse, A. P.

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p. 37-55

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On the degeneracy of the Kepler problem.

Dulock, Victor A. ; McIntosh, Harold V.

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p. 39-55

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Remarks on the defect sum for a function meromorphic on an open Riemann surface.

Emig, Phillip

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p. 45-55

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Some identities valid in special Jordan algebras but not valid in all Jordan algebras.

Glennie, C. M.

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p. 47-59

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A characterization of uniquely divisible commutative semigroups.

Brown, D. R. ; LaTorre, J. G.

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p. 57-60

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A certain class of polynomials.

Goodman, Ruth

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p. 57-69

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The inversion of a class of linear operators.

Dyer, James A.

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p. 57-66

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A description of ${\rm Mult}_{i}\,(A^{1},\cdots,A^{n})$ by generators and relations.

Hungerford, Thomas W.

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p. 61-76

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Operators of Riesz type.

Caradus, S. R.

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p. 61-71

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Homological dimension of Ore-extensions.

Gopalakrishnan, N. S. ; Sridharan, R.

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p. 67-75

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The bidual of a locally multiplicatively-convex algebra.

Gulick, S. L.

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p. 71-96

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Toeplitz forms and ultraspherical polynomials.

Davis, Jeffrey ; Hirschman, I. I.

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p. 73-95

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The distribution of cubic and quintic non-residues.

Jordan, James H.

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p. 77-85

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On a theorem of Philip Hall.

Gorenstein, Daniel

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p. 77-80

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Uniqueness and existence properties of bounded observables.

Gudder, Stanley P.

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p. 81-93

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Convexity with respect to Euler-Lagrange differential operators.

Kegley, J. Colby

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p. 87-111

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An asymptotic property of the Euler function.

Miech, R. J.

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p. 95-107

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Integral solutions to the incidence equation for finite projective plane cases of orders $n\equiv =2\,({\rm mod}\,4)$.

Johnsen, E. C.

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p. 97-120

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On the characteristic roots of the product of certain rational integral matrices of order two.

Foster, Lorraine L.

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p. 97-110

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On the essential spectrum of the hydrogen energy and related operators.

Rejto, P. A.

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p. 109-140

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Asymptotic values of a holomorphic function with respect to its maximum term.

Gray, Alfred ; Shah, S. M.

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p. 111-120

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On the determination of conformal imbedding.

Klotz, Tilla

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p. 113-119

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Centralizers and $H^{\ast}$-algebras.

Kellogg, C. N.

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p. 121-129

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On the spectral analysis of bounded functions.

Koosis, Paul

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p. 121-128

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Commutativity and ideals in the biduals of topological algebras.

Gulick, S. L.

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p. 121-137

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On the construction of certain bounded continuous functions.

Kahane, J.-P.

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p. 129-132

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On topologically induced generalized proximity relations. II.

Lodato, Michael W.

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p. 131-135

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A theorem on partitions of mass-distribution.

Menon, V. V.

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p. 133-137

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Half rings in linear spaces.

Maserick, P. H.

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p. 137-148

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Further results in the theory of monodiffric functions.

Kurowski, G. J.

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p. 139-147

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The enumeration of Hamiltonian polygons in triangular maps.

Mullin, R. C.

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p. 139-145

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Maximum and monotonicity properties of initial boundary value problems for hyperbolic equations.

Sather, D.

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p. 141-157

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Families of parallels associated with sets.

Robkin, E. E. ; Valentine, F. A.

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p. 147-157

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Commutative rings whose homomorphic images are self-injective.

Levy, Lawrence S.

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p. 149-153

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On a problem of J. F. Ritt.

O'Keefe, Kathleen B.

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p. 149-157

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On real numbers having normality of order $k$.

Long, Calvin T.

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p. 155-160

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Nonnegative projections on $C_{0}(X)$.

Seever, G. L.

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p. 159-166

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Commutative $F$-algebras.

Rosenfeld, Melvin

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p. 159-166

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Sample function regularity for Gaussian processes with the parameter in a Hilbert space.

Strait, Peggy Tang

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p. 159-173

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An inequality for operators in a Hilbert space.

Mond, Bertram

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p. 161-163

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The lack of self-adjointness in three-point boundary value problems.

Neuberger, J. W.

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p. 165-168

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Derivations and integral closure.

Seidenberg, A.

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p. 167-173

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Gaussian measures in function space.

Shepp, L. A.

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p. 167-173

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Subsets of $n$-books in $E^{3}$.

Persinger, C. A.

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p. 169-173

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Metrizability in normal Moore spaces.

Traylor, D. Reginald

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p. 175-181

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Classes of definite group matrices.

Thompson, R. C.

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p. 175-190

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A combinatorial problem in the symmetric group.

Rothaus, Oscar ; Thompson, John G.

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p. 175-178

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On the stability of the set of exponents of a Cauchy exponential series.

Verblunsky, S.

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p. 175-188

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Unknotting spheres via Smale.

De Sapio, Rodolfo

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p. 179-183

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On a stronger version of Wallis' formula.

Rao Uppuluri, V. R.

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p. 183-187

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On the functional equation $F(mn)F((m,\,n))=F(m)F(n)f((m, n))$.

Shockley, James E.

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p. 185-189

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Some classes of ring-logics.

Yaqub, Adil

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p. 189-195

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Some averages of character sums.

Walum, H.

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p. 189-192

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Boundary value problems for nonlinear ordinary differential equations.

Antosiewicz, H. A.

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p. 191-197

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Cauchy sequences in Moore spaces.

Whipple, Kenneth E.

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p. 191-199

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Invariant means on topological semigroups.

Argabright, L.

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p. 193-203

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Extreme copositive quadratic forms.

Baumert, L. D.

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p. 197-204

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Minimal Gerschgorin sets. II.

Levinger, B. W. ; Varga, R. S.

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p. 199-210

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On closed mappings, bicompact spaces, and a problem of P. Aleksandrov.

Arhangel'ski\u{\i}, A.

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p. 201-208

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A theorem on the action of abelian unitary groups.

Arveson, William B.

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p. 205-212

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Pointwise bounds for the second initial-boundary value problem of parabolic type.

Bellar, F. J.

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p. 205-219

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A note on loops.

Austin, A. K.

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p. 209-212

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On the nonsingularity of complex matrices.

Camion, Paul ; Hoffman, A. J.

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p. 211-214

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Adjoint quasi-differential operators of Euler type.

Bradley, John S.

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p. 213-237

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Fixed-point theorems for families of contraction mappings.

Belluce, L. P. ; Kirk, W. A.

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p. 213-217

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Divisibility properties of certain factorials.

Chidambaraswamy, J.

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p. 215-226

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Every abelian group is a class group.

Claborn, Luther

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p. 219-222

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Restricted bipartite partitions.

Carlitz, L. ; Roselle, D. P.

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p. 221-228

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A note on the class group.

Claborn, Luther

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p. 223-225

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Point-determining homomorphisms on multiplicative semi-groups of continuous functions.

DeZur, R. S.

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p. 227-236

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A problem complementary to a problem of Erdős.

Chidambaraswamy, J.

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p. 227-234

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On the transformation of integrals in measure space.

Chaney, Robin W.

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p. 229-242

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Chains of modules with completely reducible quotients.

Dauns, John

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p. 235-242

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A convexity property.

Freese, Raymond W.

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p. 237-241

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Unique factorization in power series rings and semigroups.

Deckard, Don ; Durst, L. K.

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p. 239-242

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The deficiency index of ordinary self-adjoint differential operators.

Devinatz, A.

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p. 243-257

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An embedding theorem for function spaces.

Clark, Colin

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p. 243-251

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Existence of half-trajectories in prescribed regions and asymptotic orbital stability.

Johnson, W. E.

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p. 243-248

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Characterization of group algebras in terms of their translation operators.

Greenleaf, F. P.

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p. 243-276

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Paths on polyhedra. II.

Klee, Victor

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p. 249-262

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A theorem on one-to-one mappings.

Duda, Edwin

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p. 253-257

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Operators commuting with translations.

Edwards, R. E.

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p. 259-265

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Two theorems on metrizability of Moore spaces.

Fitzpatrick, Ben ; Traylor, D. R.

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p. 259-264

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Sufficient conditions for an optimal control problem in the calculus of variations.

Mookini, Edwin H.

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p. 263-277

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An inequality for the density of the sum of sets of vectors in $n$-dimensional space.

Freedman, Allen R.

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p. 265-267

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Differentiability of solutions of ordinary differential equations in Hilbert space.

Friedman, Avner

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p. 267-271

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On representations of certain semigroups.

Friedberg, Michael

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p. 269-274

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Singularities in a variational problem with an inequality.

Garfinkel, Boris ; McAllister, Gregory T.

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p. 273-283

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The pseudo-radical of a commutative ring.

Gilmer, Robert W.

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p. 275-284

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On the spectral radius of hermitian elements in group algebras.

Hulanicki, A.

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p. 277-287

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Existence theorems for certain quasi-linear elliptic equations.

Motteler, Zane C.

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p. 279-299

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Fractional powers of operators.

Komatsu, Hikosaburo

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p. 285-346

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Semigroups, Presburger formulas, and languages.

Ginsburg, Seymour ; Spanier, Edwin H.

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p. 285-296

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A characterization, existence proof and dimension bounds for the kernel of a game.

Maschler, M. ; Peleg, B.

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p. 289-328

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Integral equations and product integrals.

Helton, Burrell W.

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p. 297-322

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Simple $n$-associative rings.

Outcalt, D. L.

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p. 301-309

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Some new results on simple algebras.

Rodabaugh, D. J.

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p. 311-317

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Asymptotic properties of groups generation.

Rothaus, O. S.

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p. 319-322

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First and second category Abelian groups with the $n$-adic topology.

Howard, Edgar J.

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p. 323-329

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Nilpotence of the commutator subgroup in groups admitting fixed point free operator groups.

Shult, Ernest E.

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p. 323-347

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Many-one degrees of the predicates $H_{a}\,(x)$.

Moschovakis, Yiannis N.

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p. 329-342

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An application of a family homotopy extension theorem to ${\rm ANR}\ $ spaces.

Kruse, A. H. ; Liebnitz, P. W.

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p. 331-336

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On the regions bounded by homotopic curves.

Marden, A. ; Richards, I. ; Rodin, B.

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p. 337-339

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A branching law for the symplectic groups.

Miller, Willard

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p. 341-346

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$n$th order integral operators associated with Hilbert transforms.

Okikiolu, G. O.

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p. 343-360

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Transformations of Fourier coefficients.

Rider, Daniel

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p. 347-355

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A characterization of the group algebras of the finite groups.

Rieffel, Marc A.

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p. 347-363

Project Euclid
On absolutely continuous functions and the well-bounded operator.

Sills, W. H.

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p. 349-366

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Some existence theorems in the calculus of variations.

Sánchez, David A.

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p. 357-363

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Analytic phenomena in general function algebras.

Rickart, C. E.

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p. 361-377

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Pseudocompact groups.

Wilcox, Howard J.

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p. 365-379

Project Euclid
On two-sided $H^{\ast}-$algebras.

Saworotnow, Parfeny P.

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p. 365-370

Project Euclid
Which weighted shifts are subnormal?

Stampfli, J. G.

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p. 367-379

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Factorizations of $p$-solvable groups.

Thompson, John G.

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p. 371-372

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Harnack's inequalities on the classical Cartan domains.

Tung, Shih-hsiung

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p. 373-378

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Primal clusters.

Yaqub, Adil

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p. 379-388

Project Euclid
On an entire function of an entire function defined by Dirichlet series.

Srivastava, K. N.

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p. 379-383

Project Euclid
Some lower bounds for Lebesgue area.

Ziemer, William P.

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p. 381-390

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Metrizability and completeness in normal Moore spaces.

Traylor, D. Reginald

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p. 381-390

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Stability of linear differential equations with periodic coefficients in Hilbert space.

Almkvist, Gert

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p. 383-391

Project Euclid
Oscillation criteria for third order nonlinear differential equations.

Waltman, Paul

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p. 385-389

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The spectral theorem for unbounded normal operators.

Bernau, S. J.

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p. 391-406

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Contractive projections in $L_{p}$ spaces.

Andô, T.

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p. 391-405

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Embedding theorems for commutative Banach algebras.

Bade, William G. ; Curtis, Philip C.

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p. 391-409

Project Euclid
A transplantation theorem for ultraspherical coefficients.

Askey, Richard ; Wainger, Stephen

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p. 393-405

Project Euclid
Two notes on regressive isols.

Barback, Joseph

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p. 407-420

Project Euclid
Asymptotic behavior of solutions of parabolic equations of higher order.

Chen, Lu-san

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p. 407-410

Project Euclid
On a homotopy converse to the Lefschetz fixed point theorem.

Brown, Robert F.

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p. 407-411

Project Euclid
On the $\Gamma $-rings of Nobusawa.

Barnes, Wilfred E.

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p. 411-422

Project Euclid
An application of the Bott suspension map to the topology of $EIV$.

Conlon, Lawrence

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p. 411-428

Project Euclid
On the multiplicative extension property.

Cleveland, Richard ; Cleveland, Sandra

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p. 413-421

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Solution of an invariant subspace problem of K. T. Smith and P. R. Halmos.

Bernstein, Allen R. ; Robinson, Abraham

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p. 421-431

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Second order dissipative operators.

Brooks, J. D.

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p. 423-436

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An algebraic approach to exterior differential systems.

Johnson, H. H.

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p. 423-434

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Sets with zero-dimensional kernels.

Foland, N. E. ; Marr, J. M.

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p. 429-432

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Invariant subspaces of polynomially compact operators.

Halmos, P. R.

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p. 433-437

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Closed and image-closed relations.

Franklin, S. P. ; Sorgenfrey, R. H.

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p. 433-439

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The behavior of solutions of the differential equation $y'''+p(x)y^{\prime}+q(x)y=0$.

Lazer, A. C.

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p. 435-466

Project Euclid
Operators with finite ascent and descent.

Caradus, S. R.

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p. 437-449

Project Euclid
New infinite classes of periodic Jacobi-Perron algorithms.

Bernstein, Leon

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p. 439-469

Project Euclid
A note on topological transformation groups with a fixed end point.

Gray, William J.

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p. 441-447

Project Euclid
$K$- and $L$-kernels on an arbitrary Riemann surface.

Goldstein, Myron

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p. 449-459

Project Euclid
Hermitian and anti-hermitian properties of Green's matrices.

Coddington, E. A. ; Zettl, A.

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p. 451-454

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On sets represented by the same formula in distinct consistent axiomatizable Rosser theories.

Di Paola, Robert A.

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p. 455-456

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Conditions implying normality in Hilbert space.

Embry, Mary R.

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p. 457-460

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The exponential analogue of a generalized Weierstrass series.

Kertz, George J. ; Regan, Francis

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p. 461-466

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Quasimeasures and operators commuting with convolution.

Gaudry, G. I.

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p. 461-476

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On Liapunov functions with a single critical point.

Leighton, Walter

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p. 467-472

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Cohomology of cyclic groups of prime square order.

Parr, J. T.

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p. 467-473

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Permanent of the direct product of matrices.

Brualdi, Richard A.

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p. 471-482

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On a problem of O. Taussky.

Levinger, Bernard W. ; Varga, Richard S.

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p. 473-487

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Groups whose irreducible representations have degrees dividing $p^{2}$.

Passman, D. S.

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p. 475-496

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Multipliers of type $(p,\,q)$.

Gaudry, G. I.

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p. 477-488

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Pseudocompactness and uniform continuity in topological groups.

Comfort, W. W. ; Ross, Kenneth A.

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p. 483-496

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Everywhere defined linear transformations affiliated with rings of operators.

Griffin, Ernest L.

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p. 489-493

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Tame subsets of spheres in $E^{3}$.

Loveland, L. D.

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p. 489-517

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On the bounded slope condition.

Hartman, Philip

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p. 495-511

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Algebras and fiber bundles.

Fell, J. M. G.

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p. 497-503

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Characterization of the subdifferentials of convex functions.

Rockafellar, R. T.

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p. 497-510

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A theorem of Littlewood and lacunary series for compact groups.

Figà-Talamanca, Alessandro ; Rider, Daniel

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p. 505-514

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Invariant subspaces and unstarred operator algebras.

Sarason, D.

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p. 511-517

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Relative general position.

Henderson, David W.

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p. 513-523

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Two inequalities in nonnegative symmetric matrices.

London, David

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p. 515-536

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Modular pairs in orthomodular lattices.

Schreiner, Erik A.

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p. 519-528

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Weak-star generators of $H^{\infty}$.

Sarason, Donald

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p. 519-528

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Duality and types of completeness in locally convex spaces.

Jones, William B.

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p. 525-544

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On dual series relations involving Laguerre polynomials.

Srivastava, K. N.

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p. 529-533

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Homomorphisms and subdirect decompositions of semi-groups.

Schein, B. M.

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p. 529-547

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Diagonability of idempotent matrices.

Steger, Arthur

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p. 535-542

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Infinite products of substochastic matrices.

Pullman, N. J.

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p. 537-544

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On continuity of functions with values in various Banach spaces.

Strauss, Walter A.

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p. 543-551

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Reflection and approximation by interpolation along the boundary for analytic functions.

Sloss, James M.

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p. 545-555

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Characterizations of direct sums and commuting sets of Volterra operators.

Kalisch, G. K.

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p. 545-552

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Functions analytic in a finite disk and having asymptotically prescribed characteristic.

Shea, D. F.

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p. 549-560

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Über eine Beziehung zwischen Malcev-Algebren und Lietripelsystemen.

Loos, Ottmar

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p. 553-562

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On the zeros of a linear combination of polynomials.

Vermes, Robert

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p. 553-559

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Visualizing the word problem, with an application to sixth groups.

Weinbaum, C. M.

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p. 557-578

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On the scarcity of lattice-ordered matrix rings.

Weinberg, E. C.

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p. 561-571

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Generalized convexity cones.

Ziegler, Zvi

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p. 561-580

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A class of bisimple inverse semigroups.

Warne, R. J.

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p. 563-577

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Toeplitz operators on $H_{p}$.

Widom, Harold

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p. 573-582

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On the lattice of closed subspaces of Hilbert space.

Zierler, Neal

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p. 583-586

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Correction to: ``Adjoint quasi-differential operators of Euler type''.

Bradley, John S.

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p. 587-588

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Erratum: ``Uniqueness and existence properties of bounded observables''.

Gudder, S. P.

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p. 588-590

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