Publication:
The Tsirelson space tau (p) has a unique unconditional basis up to permutation for 0 < p < 1

Consultable a partir de

Date

2009

Director

Publisher

Hindawi Publishing Corporation
Acceso abierto / Sarbide irekia
Artículo / Artikulua
Versión aceptada / Onetsi den bertsioa

Project identifier

Abstract

We show that the p-convexified Tsirelson space tau((p)) for 0 < p < 1 and all its complemented subspaces with unconditional basis have unique unconditional basis up to permutation. The techniques involved in the proof are different from the methods that have been used in all the other uniqueness results in the nonlocally convex setting. Copyright (C) 2009 F. Albiac and C. Leranoz.

Keywords

Quasi-Banach spaces, Sequence spaces, Hardy spaces, Bases, 0-less-than-P-less-than-1, LP, Mathematics

Department

Matemáticas / Matematika

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Degree

Doctorate program

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Funding entities

© 2009 F. Albiac and C. Leránoz. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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