Criteria for convexity in Banach spaces

DOI10.1090/S0002-9939-00-05300-4zbMath0966.52002MaRDI QIDQ4490235

Vassilis Kanellopoulos

Publication date: 10 July 2000

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

zbMATH Keywords

extreme pointBanach spacelocally convex spaceconvex setRadon-Nikodým propertyslicecontractible set

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Radon-Nikodým, Kre?n-Milman and related properties (46B22) Convex sets in topological vector spaces (aspects of convex geometry) (52A07)

Related Items

On the geometric structure of convex sets with the RNP ⋮ On the convexity of the weakly compact Chebyshev sets in Banach spaces

Cites Work

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• Geometric aspects of convex sets with the Radon-Nikodym property
• An extension of Tietze's theorem
• Note on Star-Shaped Sets
• A Characterization of Convex Bodies