Complemented Copies of ℓ1 and Pełczyński's Property (V*) in Bochner Function Spaces

DOI10.4153/CJM-1996-033-2zbMath0858.46029arXivmath/9410204OpenAlexW2907145122MaRDI QIDQ4895590

Narcisse Randrianantoanina

Publication date: 25 March 1997

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9410204

zbMATH Keywords

weakly compact setsBochner function spacescomplemented copy of \(\ell^ 1\)Pełcyński's property \((V^*)\)Talagrand's dichotomy

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Spaces of vector- and operator-valued functions (46E40) Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10)

Related Items (4)

Complemented Copies of l ₁ in Spaces of Vector Measures and Applications ⋮ Pelczynski’s property (V*) for symmetric operator spaces ⋮ Some remarks on the Dunford-Pettis property ⋮ Bounded approximation properties via integral and nuclear operators

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