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ArticleOriginal scientific text

Title

On sequential convergence in weakly compact subsets of Banach spaces

Authors 1

Affiliations

  1. Institute of Mathematics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland

Abstract

We construct an example of a Banach space E such that every weakly compact subset of E is bisequential and E contains a weakly compact subset which cannot be embedded in a Hilbert space equipped with the weak topology. This answers a question of Nyikos.

Keywords

ENG
Banach space, weakly compact set, uniform Eberlein compact space, bisequential space

Bibliography

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Studia Mathematica
1994-1995/112/2
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Pages:
189-194
Main language of publication
English
Published
1995
Exact and natural sciences