Moduli of non-dentability and the Radon-Nikodým property in Banach spaces

DOI10.1007/BF02764863zbMath0686.46011MaRDI QIDQ1262500

Walter Schachermayer, Elisabeth M. Werner, Abderrazzak Sersouri

Publication date: 1989

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

zbMATH Keywords

extreme pointsRadon-Nikodým propertyrenormingPettis integrable functionmoduli of non-dentabilityweak*-compact subsets of dual Banach spaces without RNP

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Radon-Nikodým, Kre?n-Milman and related properties (46B22)

Related Items (10)

Slices in the unit ball of the symmetric tensor product of \(\mathcal{C}(K)\) and \(L_{1}(\mu )\) ⋮ Plurisubharmonic martingales and barriers in complex quasi-Banach spaces ⋮ Lipschitz slices versus linear slices in Banach spaces ⋮ Octahedral norms and convex combination of slices in Banach spaces ⋮ Deux remarques sur la propriété de Radon-Nikodym analytique ⋮ Nondentable Solid Subsets in Banach Lattices Failing RNP. Applications to Renormings ⋮ BIDUAL OCTAHEDRAL RENORMINGS AND STRONG REGULARITY IN BANACH SPACES ⋮ Diameter two properties in James spaces ⋮ On Preserved and Unpreserved Extreme Points ⋮ Big slices versus big relatively weakly open subsets in Banach spaces

Cites Work

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• James space on general trees
• A double-dual characterization of separable Banach spaces containing \(\ell^1\)
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• Pettis integral and measure theory
• 𝐻_{𝛿}-embedding in Hilbert space and optimization on 𝐺_{𝛿}-sets
• Nondentable Solid Subsets in Banach Lattices Failing RNP. Applications to Renormings
• The Radon-Nikodym Property and the Krein-Milman Property are Equivalent for Strongly Regular Sets
• Characterizations of Denting Points
• Some topological and geometrical structures in Banach spaces
• Farthest points in W*-compact sets
• Dentability and finite-dimensional decompositions
• The Radon-Nikodym Property in Conjugate Banach Spaces
• Examples of separable spaces which do not contain $l_{1}$ and whose duals are non-separable
• Some more characterizations of Banach spaces containing l₁
• Sets with the Radon-Nikodým property in conjugate Banach space
• A separable somewhat reflexive Banach space with nonseparable dual
• On Banach spaces containing $L_{1}(μ)$

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