@article{CM_1985__54_1_41_0, author = {Dzinotyiweyi, Heneri A. M.}, title = {The cardinality of the set of invariant means on a locally compact topological semigroup}, journal = {Compositio Mathematica}, volume = {56}, year = {1985}, pages = {41-49}, mrnumber = {782384}, zbl = {0579.43002}, language = {en}, url = {http://dml.mathdoc.fr/item/CM_1985__54_1_41_0} }
Dzinotyiweyi, Heneri A. M. The cardinality of the set of invariant means on a locally compact topological semigroup. Compositio Mathematica, Tome 56 (1985) pp. 41-49. http://gdmltest.u-ga.fr/item/CM_1985__54_1_41_0/
[1] A.C. andAlgebras of measures on a locally compact semigroup III. J. Lond. Math. Soc. 4 (1972) 685-695. | MR 306806 | Zbl 0232.43002
:[2] On the size of the set of left invariant means on a semigroup. Proc. Amer. Math. Soc. 23 (1969) 199-205. | MR 247444 | Zbl 0188.19006
:[3] On topologically invariant means on a locally compact group. Trans. Amer. Math. Soc. 151 (1970) 443-456. | MR 269780 | Zbl 0202.14001
:[4] Topologically invariant means on the von Neumann algebra (VN(G). Trans. Amer. Math. Soc. 273 (1982), 207 (1982) 207-229. | MR 664039 | Zbl 0507.22007
:[5] Algebras of measures on C-distinguished topological semigroups. Proc. Camb. Philos. Soc. 84 (1979) 323-336. | MR 493158 | Zbl 0392.43001
:[6] Algebras of functions and invariant means on semigroups. Math. Instituut, Katholieke Universiteit, Nijmegen, Report. 7807 (1978).
:[7] Nonseparability of quotient spaces of function algebras on topological semigroups. Trans. Amer. Math. Soc. 272 (1982) 223-235. | MR 656487 | Zbl 0498.43004
:[8] Exposed points of convex sets and weak sequential convergence. Memo Amer. Math. Soc. 123 (1972). | MR 365090 | Zbl 0258.46001
:[9] Invariant means on topological groups and their applications, Van Nostrand, New York, 1969. | MR 251549 | Zbl 0174.19001
:[10] Abstract harmonic analysis Vol. I. Springer-Verlag, New York 1963. | MR 551496 | Zbl 0213.40103
and :[11] Linear topological spaces. D. van Nostrand, Princeton, New Jersey, London, 1963. | MR 166578 | Zbl 0115.09902
and :[12] Dimensions of the sets of invariant means of semigroups. Ill J. Math. 24 (1980) 233-243. | MR 575064 | Zbl 0437.43008
:[13] Invariant means on a locally compact group. Mon. fur Math. 78 (1974) 356-359. | MR 358218 | Zbl 0296.43003
and :[14] Amenability and locally compact semigroups. Mathematica Scandinavia 42 (1978) 271-288. | MR 512274 | Zbl 0396.43005
:[15] The number of extensions of an invariant mean. Comp. Math. 33 (1976) 147-159. | Numdam | MR 435729 | Zbl 0335.43001
: