Contractive projections on the fixed point set of $L_∞$ contractions

• Autorzy: Michael Lin , Robert Sine
• Języki publikacji: EN

Słowa kluczowe

EN

$L_∞$   projection   contraction   binary ball intersection   ergodic   positive operator   fixed point  

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1991
• Tom: 62
• Numer: 1
• Strony: 91-96

Daty

wydano

1991

otrzymano

1989-08-28

Twórcy

autor

Michael Lin

• Department of Mathematics and Computer Sciences, Ben-Gurion University of the Negev, Beer-Sheva, Israel

autor

Robert Sine

• Department of Mathematics, University of Rhode Island, Kingston, Rhode Island 02881, U.S.A.

Bibliografia

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• [Kr] U. Krengel, Ergodic Theorems, de Gruyter Stud. Math. 6, Berlin 1985.
• [La] H. E. Lacey, The Isometric Theory of Classical Banach Spaces, Springer, Berlin 1974.
• [LS] M. Lin and R. Sine, On the fixed point set of nonexpansive order preserving maps, Math. Z. 203 (1990), 227-234.
• [LT] J. Lindenstrauss and L. Tzafriri, On the complemented subspaces problem, Israel J. Math. 9 (1971), 263-269.
• [L1] S. P. Lloyd, An adjoint ergodic theorem, in: Ergodic Theory, F. B. Wright (ed.), Academic Press, 1963, 195-201.
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• [L3] S. P. Lloyd, Poisson-Martin representation of excessive functions, unpublished manu- script.
• [Si] R. C. Sine, On nonlinear contraction semigroups in sup norm spaces, Nonlinear Anal. 3 (1979), 885-890.
• [So] P. Soardi, Existence of fixed point of nonexpansive mappings in certain Banach lattices, Proc. Amer. Math. Soc. 73 (1979), 25-29.