Banach spaces not containing \(\ell_{1}\)

DOI10.1007/BF02390820zbMath1039.46014MaRDI QIDQ1426891

Jorge Mujica

Publication date: 15 March 2004

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

copy of \(\ell_1\)Hagler-Johnson theoremJosefsson-Nissenzweig theorem

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items

On the Schur, positive Schur and weak Dunford–Pettis properties in Fréchet lattices ⋮ Dual fixed point property on spaces of continuous functions under equivalent norms

Cites Work

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• Weak sequential convergence in the dual of a Banach space does not imply norm convergence
• \(w^*\) sequential convergence
• On Banach spaces whose dual balls are not weak\(^*\) sequentially compact
• On quasi-complemented subspaces of Banach spaces, with an appendix on compactness of operators from \(L^{p}(\mu)\) to \(L^{r}(\nu)\)
• Some problems on bases in Banach and Frechet spaces
• A Characterization of Banach Spaces Containing l ¹
• Sur les espaces de Banach ne contenant pas $l^1(\mathsf{N})$.
• Some recent discoveries in the isomorphic theory of Banach spaces
• A Banach Space Not Containing c 0 , l 1 or a Reflexive Subspace