(wã2) in Orlicz Sequence Spaces and Some of Their Consequences

نویسندگان

  • YUNAN CUI
  • HENRYK HUDZIK
چکیده

In this paper, we introduce a new geometric property (UÃ2) and we show that if a separable Banach space has this property, then both X and its dual X∗ have the weak fixed point property. We also prove that a uniformly Gateaux differentiable Banach space has property (UÃ2) and that if X∗ has property (UÃ2), then X has the (UKK)-property. Criteria for Orlicz spaces to have the properties (UA2), (UA ε 2) ∗ and (NUS∗) are given.

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تاریخ انتشار 2010