The duality between Asplund spaces and spaces with the Radon-Nikodym property

DOI10.1007/BF02761178zbMath0374.46015WikidataQ61535189 ScholiaQ61535189MaRDI QIDQ1245390

Charles P. Stegall

Publication date: 1978

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

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10)

Related Items

Problèmes de renormages. (Renorming problems) ⋮ Optimization and differentiation in Banach spaces ⋮ Functions of the First Baire Class with Values in Banach Spaces ⋮ A continuous image of a Radon-Nikodým compact space which is not Radon-Nikodým ⋮ Unnamed Item ⋮ CONSTRAINED CONTROLLABILITY IN NON REFLEXIVE BANACH SPACES ⋮ Lipschitz functions on Banach spaces which are actually defined on Asplund spaces ⋮ A Bishop-Phelps-Bollobás type theorem for uniform algebras ⋮ \(\Gamma\)-flatness and Bishop-Phelps-Bollobás type theorems for operators ⋮ Phelps spaces and finite dimensional decompositions ⋮ Banach Spaces Which Always Contain Supremum-Attaining Elements ⋮ Some properties of the injective tensor product of \(L^{p}\)[0,1 and a Banach space.] ⋮ Fragmentability of groups and metric-valued function spaces ⋮ Differentiability of Lipschitz functions on Banach spaces ⋮ Radon‐Nikodým compact spaces and fragmentability ⋮ Restricted weak upper semi-continuity of subdifferentials of convex functions on Banach spaces ⋮ Radon-Nikodým compact spaces ⋮ The topology of certain spaces of measures ⋮ On the uniqueness and stability of an inverse problem in photo-acoustic tomography ⋮ Domination problem in Banach lattices ⋮ A convex set-valued version of the Mazur-Ulam theorem on Asplund spaces ⋮ Fragmentability in Banach spaces: interaction of topologies ⋮ On Upper Semicontinuity of Duality Mappings ⋮ Measure of non-Radon-Nikodym property and differentiability of convex functions on Banach spaces ⋮ Generic Fréchet differentiability of convex functions dominated by a lower semicontinuous convex function ⋮ The Bishop-Phelps-Bollobás theorem and Asplund operators ⋮ The convex point of continuity property in Asplund spaces ⋮ Duality of Banach function spaces and the Radon-Nikodym property ⋮ Generalizations of a Theorem of Namioka ⋮ FRAGMENTABILITY BY THE DISCRETE METRIC ⋮ Very differentiable and generic Frechet differentiable convex functions on Banach spaces ⋮ Local convex analysis ⋮ Gateaux differentiable functions are somewhere Fréchet differentiable ⋮ Compactness conditions and strong subdifferentiability of a norm in geometry of Banach spaces

Cites Work

• Factoring weakly compact operators
• Banach spaces which are Asplund spaces
• Dentability and extreme points in Banach spaces
• Fréchet differentiability of convex functions
• The Radon-Nikodym Property in Conjugate Banach Spaces
• A Class of Strong Differentiability Spaces
• Über konvexe Mengen in linearen normierten Räumen
• The Radon-Nikodym Theorem for the Bochner Integral
• Produits tensoriels topologiques et espaces nucléaires
• Unnamed Item
• Unnamed Item