Boundaries for Banach spaces determine weak compactness

DOI10.1007/s00222-010-0267-6zbMath1215.46015arXiv0807.2810OpenAlexW2109352330MaRDI QIDQ607717

Hermann Pfitzner

Publication date: 3 December 2010

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.2810

zbMATH Keywords

weak compactnessboundary problem for Banach spacesJames boundary

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Nonseparable Banach spaces (46B26) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

Related Items (18)

ON THE EXISTENCE OF NON-NORM-ATTAINING OPERATORS ⋮ One-sided James' compactness theorem ⋮ A note on Mackey topologies on Banach spaces ⋮ Convex combinations of weak\(^*\)-convergent sequences and the Mackey topology ⋮ A multiset version of James's theorem ⋮ On quantitative Gelfand-Phillips property and Phillips property ⋮ Quantifying properties (K) and (μs$\mu ^{s}$) ⋮ Quantitative Dunford-Pettis property ⋮ Unnamed Item ⋮ An extension of James's compactness theorem ⋮ Weak\(^*\)-sequential properties of Johnson-Lindenstrauss spaces ⋮ On the range of a vector measure ⋮ On quantification of weak sequential completeness ⋮ A note on the \(\gamma\) topology in dual Banach spaces ⋮ Compactness, Optimality, and Risk ⋮ Boundaries of compact convex sets and fragmentability ⋮ Open problems in Banach spaces and measure theory ⋮ $\varepsilon $-weakly precompact sets in Banach spaces

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