- 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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