A dual geometric characterization of Banach spaces not containing \(l_ 1\).

DOI10.2140/PJM.1983.105.415zbMath0465.46009OpenAlexW1978635397MaRDI QIDQ1154629

Elias Saab, Paulette Saab

Publication date: 1983

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

Full work available at URL: https://doi.org/10.2140/pjm.1983.105.415

zbMATH Keywords

Radon-Nikodym propertybounded setdual Banach spaceweak Radon-Nikodym propertyweak*-dentable

Mathematics Subject Classification ID

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)

Related Items (11)

On Saab's characterizations of weak Radon-Nikodym sets ⋮ A geometric characterization of the weak-Radon Nikodym property in dual Banach spaces ⋮ Phelps spaces and finite dimensional decompositions ⋮ Tameness and Rosenthal type locally convex spaces ⋮ New criteria for the weak Radon-Nikodým property related to set-valued operators ⋮ Copies of \(c_0\) in the space of Pettis integrable functions revisited ⋮ Comparable differentiability characterisations of two classes of Banach spaces ⋮ Banach Representations and Affine Compactifications of Dynamical Systems ⋮ On localized weak precompactness in Banach spaces ⋮ Representations of dynamical systems on Banach spaces not containing $l_{1}$ ⋮ Copies of $c_{0}(Γ)$ in $C(K, X)$ spaces

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