Comparable differentiability characterisations of two classes of Banach spaces

DOI10.1017/S0004972700031002zbMath0908.46010MaRDI QIDQ4374808

John R. Giles

Publication date: 16 February 1998

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Asplund spacesequivalent normdifferentiability propertyBanach spaces not containing \(\ell_1\)

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Convex functions and convex programs in convex geometry (52A41) Radon-Nikodým, Kre?n-Milman and related properties (46B22)

Cites Work

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• Convex functions, monotone operators and differentiability.
• A dual geometric characterization of Banach spaces not containing \(l_ 1\).
• On conjugate Banach-spaces with the Radon-Nikodym property
• Dual Spaces with the Krein-Milman Property have the Radon-Nikodym Property

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