Massiveness of the set of extreme points of the dual ball of a Banach space. Polyhedral spaces

DOI10.1007/BF01681448zbMath0403.46016OpenAlexW2044468228MaRDI QIDQ1256166

Vladimir P. Fonf

Publication date: 1979

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01681448

zbMATH Keywords

Banach SpaceDual BallExtreme PointsMassivenessPolyhedral Spaces

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Duality and reflexivity in normed linear and Banach spaces (46B10)

Related Items (7)

Baire classes of affine vector-valued functions ⋮ Smallness and the covering of a Banach space ⋮ Generic Banach spaces and generic simplexes ⋮ Polyhedral preduals of \(\ell_{1}\) and their representing matrices ⋮ On isomorphically polyhedral \(\mathcal{L}_\infty\)-spaces ⋮ Analytic and polyhedral approximation of convex bodies in separable polyhedral Banach spaces ⋮ Polyhedral norms in an infinite dimensional space

Cites Work

• Unnamed Item
• On extreme points in separable conjugate spaces
• Notes on Klee's paper 'Polyhedral sections of convex bodies'
• Extreme point properties of convex bodies in reflexive Banach spaces

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