The distance $dist (\mathcal{B},X)$ when $\mathcal{B}$ is a boundary of $B(X^{**})$

DOI10.1090/S0002-9939-2010-10529-4zbMath1225.46011OpenAlexW1518809109MaRDI QIDQ3085073

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Publication date: 28 March 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2010-10529-4

zbMATH Keywords

distancesconvex setsunit ballJames boundaries

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Nonseparable Banach spaces (46B26)

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Cites Work

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• An extension of the Krein--Smulian theorem
• Boundaries of a convex set and interpolation sets
• Convexity and \(w^*\)-compactness in Banach spaces
• An eigenvector proof of Fatou's lemma for continuous functions
• A quantitative version of Krein's theorem

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