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October 2003 Banach spaces not containing l1
Jorge Mujica
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Ark. Mat. 41(2): 363-374 (October 2003). DOI: 10.1007/BF02390820

Abstract

We show that if E is a complex Banach space which contains no subspace isomorphic to l1, then each infinite dimensional subspace of E′ contains a normalized sequence which converges to zero for the weak star topology.

Dedication

Dedicated to the memory of Klaus Floret (1941–2002).

Citation

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Jorge Mujica. "Banach spaces not containing l1." Ark. Mat. 41 (2) 363 - 374, October 2003. https://doi.org/10.1007/BF02390820

Information

Received: 18 June 2002; Published: October 2003
First available in Project Euclid: 31 January 2017

zbMATH: 1039.46014
MathSciNet: MR2011926
Digital Object Identifier: 10.1007/BF02390820

Rights: 2003 © Institut Mittag-Leffler

Vol.41 • No. 2 • October 2003
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