Properties (UÃ₂)* and (WÃ₂) in Orlicz spaces and some of their consequences

Title: Properties (UÃ₂)* and (WÃ₂) in Orlicz spaces and some of their consequences
Creator: Cui, Yunan; Hudzik, Henryk; Sims, Brailey
Relation: Journal of Mathematical Analysis and Applications Vol. 387, Issue 1, p. 400-409
Publisher Link: http://dx.doi.org/10.1016/j.jmaa.2011.09.001
Publisher: Academic Press
Resource Type: journal article
Date: 2012
Description: We introduce a new geometric property (Ã₂) and we show that it is equivalent to its uniform version (⋃Ã₂). Next we introduce a new property (⋃Ã₂) and we show that if a separable Banach space X has this property, then both X and X^* have the weak fixed point property. We also prove that a uniformly Gateaux differentiable Banach space has property (⋃Ã₂) and that if X^* has property (⋃Ã₂), then X has the image-property. Criteria in order that Orlicz spaces have the properties (⋃Ã₂), (⋃Ã₂)^* and (NUS^*) are given.
Subject: Orlicz space; fixed point property; Banach space; Ã₂
Identifier: http://hdl.handle.net/1959.13/1317417
Identifier: uon:23417
Identifier: ISSN:0022-247X
Language: eng
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