A Stability Property of a Class of Banach Spaces not Containing a Complemented Copy of l 1

DOI10.2307/2043805zbMath0484.46022OpenAlexW4251045353MaRDI QIDQ3943445

Elias Saab, Paulette Saab

Publication date: 1982

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2043805

zbMATH Keywords

complemented subspaceChoquet simplex

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25) Radon-Nikodým, Kre?n-Milman and related properties (46B22)

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On the separable quotient problem for Banach spaces ⋮ Strictly singular and strictly cosingular operators on spaces of continuous functions ⋮ On the Banach spaces with the property \((V^*)\) of Pelczynski ⋮ On l₁ subspaces of Orlicz vector-valued function spaces ⋮ On ideals in Banach spaces ⋮ Extensions of some classes of operators and applications ⋮ When does \(C(K,X)\) contain a complemented copy of \(c_0(\Gamma )\) iff \(X\) does? ⋮ About the properties (V) and (R. D. P.) in injective tensor products ⋮ Banach spaces with property (w)

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