Boundaries and generation of convex sets

DOI10.1007/BF02807196zbMath1046.46014MaRDI QIDQ1424107

Vladimir P. Fonf, Joram Lindenstrauss

Publication date: 8 March 2004

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

boundarynorm-attaining functionalsgeneration of compact convex sets

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Duality and reflexivity in normed linear and Banach spaces (46B10)

Related Items (13)

Intersection properties of the unit ball ⋮ One-sided James' compactness theorem ⋮ Boundaries for Banach spaces determine weak compactness ⋮ Boundaries and polyhedral Banach spaces ⋮ \((I)\)-envelopes of closed convex sets in Banach spaces ⋮ An extension of James's compactness theorem ⋮ Polyhedrality in pieces ⋮ AN ELEMENTARY PROOF OF JAMES’ CHARACTERIZATION OF WEAK COMPACTNESS ⋮ Compactness, Optimality, and Risk ⋮ Boundaries of Asplund spaces ⋮ Boundaries of compact convex sets and fragmentability ⋮ Isometric factorization of vector measures and applications to spaces of integrable functions ⋮ Topology, isomorphic smoothness and polyhedrality in Banach spaces

Cites Work

• Norm-attainment of linear functionals on subspaces and characterizations of Tauberian operators
• Boundaries of a convex set and interpolation sets
• Superkonvexität und schwache Kompaktheit
• One property of families of imbedded Banach spaces
• Geometric aspects of convex sets with the Radon-Nikodym property
• Dentability and extreme points in Banach spaces
• Extreme point properties of convex bodies in reflexive Banach spaces
• Rotundity and Smoothness in Conjugate Spaces
• A note on norm attaining functionals
• Weakly Compact Sets
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