Open Access
2015 Positions in $\ell_1$
Jesus M. F. Castillo, Marilda A. Simoes
Banach J. Math. Anal. 9(4): 395-404 (2015). DOI: 10.15352/bjma/09-4-20

Abstract

We treat several questions related to the positions of subspaces of $\ell_1$. Among them, we show that all quotients $\ell_1/\ell_1$ have the Schur property and that a nontrivial twisted sum of $\ell_1$ and $c_0$ cannot be isomorphic to the direct product $\ell_1 \oplus c_0$.

Citation

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Jesus M. F. Castillo. Marilda A. Simoes. "Positions in $\ell_1$." Banach J. Math. Anal. 9 (4) 395 - 404, 2015. https://doi.org/10.15352/bjma/09-4-20

Information

Published: 2015
First available in Project Euclid: 17 April 2015

zbMATH: 1208.46007
MathSciNet: MR3336899
Digital Object Identifier: 10.15352/bjma/09-4-20

Subjects:
Primary: 46A22‎
Secondary: 46B04 , 46B08 , 46B26

Keywords: Dunford-Pettis property , positions in Banach spaces , twisted sum of Banach spaces

Rights: Copyright © 2015 Tusi Mathematical Research Group

Vol.9 • No. 4 • 2015
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