Contractive projections on the fixed point set of L∞ contractions
Lin, Michael ; Sine, Robert
Colloquium Mathematicae, Tome 62 (1991), p. 91-96 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)
Publié le : 1991-01-01
EUDML-ID : urn:eudml:doc:210104 
@article{bwmeta1.element.bwnjournal-article-cmv62i1p91bwm,
     author = {Michael Lin and Robert Sine},
     title = {Contractive projections on the fixed point set of $L\_$\infty$$ contractions},
     journal = {Colloquium Mathematicae},
     volume = {62},
     year = {1991},
     pages = {91-96},
     zbl = {0746.47006},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv62i1p91bwm}
}

Lin, Michael; Sine, Robert. Contractive projections on the fixed point set of $L_∞$ contractions. Colloquium Mathematicae, Tome 62 (1991) pp. 91-96. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv62i1p91bwm/

[000] [AP] N. Aronszajn and P. Panitchpakdi, Extension of uniformly continuous transformations and hyperconvex metric spaces, Pacific J. Math. 6 (1956), 405-439. | Zbl 0074.17802

[001] [B] J. B. Baillon, Nonexpansive mappings and hyperconvex spaces, Contemp. Math. 72 (1988), 11-19. | Zbl 0653.54021

[002] [Br] R. E. Bruck, Jr., A common fixed point theorem for a commuting family of nonexpansive mappings, Pacific J. Math. 53 (1974), 59-71.

[003] [Ka] S. Kakutani, Some characterizations of Euclidean space, Japan. J. Math. 16 (1939), 93-97. | Zbl 0022.15001

[004] [Kr] U. Krengel, Ergodic Theorems, de Gruyter Stud. Math. 6, Berlin 1985.

[005] [La] H. E. Lacey, The Isometric Theory of Classical Banach Spaces, Springer, Berlin 1974. | Zbl 0285.46024

[006] [LS] M. Lin and R. Sine, On the fixed point set of nonexpansive order preserving maps, Math. Z. 203 (1990), 227-234. | Zbl 0662.47030

[007] [LT] J. Lindenstrauss and L. Tzafriri, On the complemented subspaces problem, Israel J. Math. 9 (1971), 263-269. | Zbl 0211.16301

[008] [L1] S. P. Lloyd, An adjoint ergodic theorem, in: Ergodic Theory, F. B. Wright (ed.), Academic Press, 1963, 195-201.

[009] [L2] S. P. Lloyd, Feller boundary induced by a transition operator, Pacific J. Math. 27 (1968), 547-566. | Zbl 0167.44501

[010] [L3] S. P. Lloyd, Poisson-Martin representation of excessive functions, unpublished manu- script.

[011] [Si] R. C. Sine, On nonlinear contraction semigroups in sup norm spaces, Nonlinear Anal. 3 (1979), 885-890. | Zbl 0423.47035

[012] [So] P. Soardi, Existence of fixed point of nonexpansive mappings in certain Banach lattices, Proc. Amer. Math. Soc. 73 (1979), 25-29. | Zbl 0371.47048