A class of Banach spaces with few non strictly singular operators

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dc.creatorArgyros, S. A.
dc.creatorLopez-Abad, J.
dc.creatorTodorcevic, S.
dc.date2003-12-31
dc.date2004-10-27
dc.date.accessioned2026-07-07T05:04:18Z
dc.date.available2026-07-07T05:04:18Z
dc.descriptionWe 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 $S_T$.
dc.description52 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0312522
dc.identifierhttp://arxiv.org/abs/math/0312522
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69753
dc.subjectFunctional Analysis
dc.subjectLogic
dc.subject46B20; 03E05
dc.titleA class of Banach spaces with few non strictly singular operators
dc.typetext

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