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S.A. Argyros, S. Mercourakis ) JA  JDA IJHK?JKHA B 974 *==?D IF=?AI

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S.A. Argyros, S. Mercourakis

A note on the structure of WUR Banach spaces

Comment.Math.Univ.Carolinae 46,3 (2005) 399-408.

Abstract: We present an example of a Banach space E admitting an equivalent weakly uniformly rotund norm and such that there is no Φ : E → c0(Γ), for any set Γ, linear, one-to-one and bounded. This answers a problem posed by Fabian, Godefroy, H´ajek and Zizler. The spaceE is actually the dual spaceY∗ of a space Y which is a subspace of a WCG space.

Keywords: WCG Banach space, weakly uniformly rotund norms, tree AMS Subject Classification: 46B20, 46B26, 03E05

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