Polyhedral Banach spaces

DOI10.1007/BF01137813zbMath0484.46019MaRDI QIDQ1163721

Vladimir P. Fonf

Publication date: 1981

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

polyhedronpolyhedral Banach space

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20)

Related Items (24)

Some isomorphically polyhedral Orlicz sequence spaces ⋮ LFC bumps on separable Banach spaces ⋮ Continuity properties of the ball hull mapping ⋮ Convex sets which are intersections of closed balls ⋮ Smallness and the covering of a Banach space ⋮ Generic Banach spaces and generic simplexes ⋮ Best approximation in polyhedral Banach spaces ⋮ Polyhedral norms on non-separable Banach spaces ⋮ Smoothing of bump functions ⋮ Boundaries of Asplund spaces ⋮ Banach spaces in various positions ⋮ Polyhedrality in Orlicz spaces ⋮ Boundedly complete basic sequences, \(c_ 0\)-subspaces, and injections of Banach spaces ⋮ Geometry of Banach spaces with property \(\beta\) ⋮ New examples of \(c_{0}\)-saturated Banach spaces ⋮ Covering a Banach space ⋮ Analytic and polyhedral approximation of convex bodies in separable polyhedral Banach spaces ⋮ New examples of \(c_0\)-saturated Banach spaces. II ⋮ Some results on infinite-dimensional convexity ⋮ Topology, isomorphic smoothness and polyhedrality in Banach spaces ⋮ A note on extreme points of $C^\infty $-smooth balls in polyhedral spaces ⋮ On Preserved and Unpreserved Extreme Points ⋮ Three characterizations of polyhedral Banach spaces ⋮ Polyhedral norms in an infinite dimensional space

Cites Work

• Some properties of the set of functionals which attain their supremum on the unit sphere
• Notes on Klee's paper 'Polyhedral sections of convex bodies'
• Polyhedral sections of convex bodies
• On bases and unconditional convergence of series in Banach spaces
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