The Tsirelson space tau (p) has a unique unconditional basis up to permutation for 0 < p < 1
Ver/
Fecha
2009Versión
Acceso abierto / Sarbide irekia
Tipo
Artículo / Artikulua
Versión
Versión aceptada / Onetsi den bertsioa
Impacto
|
10.1155/2009/780287
Resumen
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. ...
[++]
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. [--]
Materias
Quasi-Banach spaces,
Sequence spaces,
Hardy spaces,
Bases,
0-less-than-P-less-than-1,
LP,
Mathematics
Editor
Hindawi Publishing Corporation
Publicado en
Abstract and Applied Analysis, 2009. Article ID 780287, 6 pages
Departamento
Universidad Pública de Navarra. Departamento de Matemáticas /
Nafarroako Unibertsitate Publikoa. Matematika Saila