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Title

Total subspaces in dual Banach spaces which are not norming over any infinite-dimensional subspace

Authors 1

Affiliations

  1. Institute for Low Temperature Physics and Engineering, Ukrainian Academy of Sciences, 47 Lenin Avenue, Kharkov 310164, Ukraine

Abstract

The main result: the dual of separable Banach space X contains a total subspace which is not norming over any infinite-dimensional subspace of X if and only if X has a nonquasireflexive quotient space with a strictly singular quotient mapping.

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Studia Mathematica
1993/105/1
Export to PBN, Opens in new tab
Pages:
37-49
Main language of publication
English
Received
1991-12-09
Accepted
1992-09-30
Published
1993
Exact and natural sciences