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 $\ell_1 \oplus c_0$.

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Copyright © 2015 Tusi Mathematical Research Group
Jesus M. F. Castillo and Marilda A. Simoes "Positions in $\ell_1$," Banach Journal of Mathematical Analysis 9(4), 395-404, (2015). https://doi.org/10.15352/bjma/09-4-20
Published: 2015
Vol.9 • No. 4 • 2015
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