A class of Banach spaces with few non strictly singular operators

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We construct a family $(\mathcal{X}_\al)_{\al\le ω_1}$ of reflexive Banach spaces with long transfinite bases but with no unconditional basic sequences. In our spaces $\mathcal{X}_\al$ every bounded operator $T$ is split into its diagonal part $D_T$ and its strictly singular part $S_T$.
52 pages, 1 figure

Keywords

Functional Analysis, Logic, 46B20; 03E05

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/69753

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0312522
 http://arxiv.org/abs/math/0312522

Collections

arXiv