A note on the γ topology in dual Banach spaces

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:408

Article

Granero, A. S.¹  Hernandez, J. M.¹ 

[1] Univ Complutense, Fac Matemat, Dep Anal Matemat, E-28040 Madrid, Spain

关键词: Dual spaces;    omega*-compact subsets;    Convex sets;    gamma topology;    Separation theorems;   

DOI  :  10.1016/j.jmaa.2013.05.077

来源: Elsevier

【 摘 要 】

If X is a Banach space, the gamma topology of the dual X* is the topology of the uniform convergence on bounded separable subsets of X. We prove, among other things, that (co) over bar (K) = (co) over bar (gamma) (K) for every omega*-compact subset K of X*. As an application we obtain some new separation results. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

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