The Radon-Nikodym Property and the Krein-Milman Property are Equivalent for Strongly Regular Sets

DOI10.2307/2000690zbMath0633.46023OpenAlexW4246149106MaRDI QIDQ3771035

Walter Schachermayer

Publication date: 1987

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

Full work available at URL: https://doi.org/10.2307/2000690

zbMATH Keywords

extreme pointunconditional basisthe Radon-Nikodym property and the Krein-Milman property are equivalent for strongly regular sets

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Radon-Nikodým, Kre?n-Milman and related properties (46B22)

Related Items (11)

Differentiability of convex functions and the convex point of continuity property in Banach spaces ⋮ On the structure of non-dentable closed bounded convex sets ⋮ The equivalence between CPCP and strong regularity under Krein-Milman property ⋮ Non-dentable sets in Banach spaces with separable dual ⋮ Moduli of non-dentability and the Radon-Nikodým property in Banach spaces ⋮ Point of continuity property and Schauder bases ⋮ Small combination of slices, dentability and stability results of small diameter properties in Banach spaces ⋮ Extremal structure of convex sets in spaces not containing \(c_ 0\) ⋮ Characterizations of Denting Points ⋮ Basis selection and fixed point results for affine mappings ⋮ Some interesting Banach spaces

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