| Authors: | Argyros, Spiros Lopez-Abad, Jordi Todorčević, Stevo |
Title: | A class of Banach spaces with no unconditional basic sequence | Other Titles: | Une classe d'espace de Banach sans suite basique inconditionnelle | Journal: | Comptes Rendus Mathematique | Volume: | 337 | Issue: | 1 | First page: | 43 | Last page: | 48 | Issue Date: | 1-Jul-2003 | Rank: | M23 | ISSN: | 1631-073X | DOI: | 10.1016/S1631-073X(03)00272-3 | Abstract: | We give a construction of a reflexive Banach space Xω1 with a transfinite basis of length ω1 and with no unconditional basic sequence. In addition every bounded operator from a subspace of Xω1 into the space Xω1 is a sum of a simple diagonal operator and a strictly singular one. |
Publisher: | Elsevier |
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