A separable space with no Schauder decomposition-Reference-Cited by-同舟云学术

A separable space with no Schauder decomposition

Published:1999-05-20 Issue:9 Volume:127 Page:2805-2806
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Allexandrov G.,Kutzarova Denka,Plichko A.

Abstract

We combine some known results to remark that there exists a separable Banach space which fails to have a Schauder decomposition. It can be chosen as a subspace of Gowers-Maurey space without any unconditional basic sequence.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1999-127-09/S0002-9939-99-05370-8/S0002-9939-99-05370-8.pdf

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