A Counterexample to a Problem on Points of Continuity in Banach Spaces

DOI10.2307/2046625zbMath0659.46015OpenAlexW4248117894WikidataQ125017465 ScholiaQ125017465MaRDI QIDQ3808668

Bernard Maurey, Walter Schachermayer, Nassif Ghoussoub

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2046625

zbMATH Keywords

convex point of continuity propertypredual of James spaceweak and norm topology

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25) Vector-valued measures and integration (46G10) Banach spaces of continuous, differentiable or analytic functions (46E15) Radon-Nikodým, Kre?n-Milman and related properties (46B22)

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Differentiability of convex functions and the convex point of continuity property in Banach spaces, On the structure of non-dentable closed bounded convex sets, Asymptotic geometry and Delta-points, On Daugavet indices of thickness, On tree characterizations of \(G_{\delta}\)-embeddings and some Banach spaces, The convex point of continuity property in Asplund spaces, An extension of a structure theorem of Bourgain, Some interesting Banach spaces, Antiproximinal norms in Banach spaces

Cites Work

• Applications of the theory of semi-embeddings to Banach space theory
• \(G_{\delta}\)-embeddings in Hilbert space
• Topological properties of Banach spaces
• Dentability and finite-dimensional decompositions
• Examples of separable spaces which do not contain $l_{1}$ and whose duals are non-separable