Some topological properties of support points of convex sets

DOI10.1007/BF02762808zbMath0252.46020OpenAlexW2023626144MaRDI QIDQ2557416

Robert R. Phelps

Publication date: 1973

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

Full work available at URL: https://doi.org/10.1007/bf02762808

Mathematics Subject Classification ID

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

Related Items

On support points and support functionals of convex sets, Statistical convergence and measure convergence generated by a single statistical measure, Every weakly compact set can be uniformly embedded into a reflexive Banach space, A set-valued extension of the Mazur–Ulam theorem, Generic Frechet-differentiability of convex functions on small sets, Extreme points, exposed points, differentiability points in CL-spaces, On a generalized Mazur-Ulam question: Extension of isometries between unit spheres of Banach spaces, Strongly antiproximinal sets in Banach spaces, Connectedness of certain subsets of locally convex spaces, Approximation des bornes d'un espace Banach par des compacts et applications à l'approximation des opérateurs bornes, The Dual of a Theorem of Bishop and Phelps, More on the Differentiability of Convex Functions, Generic Gâteaux-differentiability of convex functions on small sets, Yet More on the Differentiability of Convex Functions, The numerical ranges of unbounded operators

Cites Work

• Unnamed Item
• Unnamed Item
• Support cones in Banach spaces and their applications
• The numerical range of a continuous mapping of a normed space
• Convex sets in linear spaces
• Convex sets in linear spaces. II
• The Geometry of Banach Spaces. Smoothness