A Banach space not containing \(\ell_1\) whose dual ball is not weak\(^*\) sequentially compact

zbMath0391.46015MaRDI QIDQ1251362

James N. Hagler, Edward Odell

Publication date: 1978

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

zbMATH Keywords

Banach SpaceDual BallFirst Baire ClassJames TreePointwise Compact SubsetsWeak*Sequentially Compact

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25) Duality and reflexivity in normed linear and Banach spaces (46B10)

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Renormings of the dual of James tree spaces ⋮ James space on general trees ⋮ A set-theoretic characterization of a certain class of \(l_ 2\)-saturated James type spaces ⋮ Examples concerning heredity problems of WCG Banach spaces ⋮ On the range of a vector measure ⋮ Compactness, Optimality, and Risk ⋮ Some recent discoveries in the isomorphic theory of Banach spaces ⋮ On the structure of non-weakly compact operators on Banach lattices ⋮ Two problems of Valdivia on distinguished Fréchet spaces ⋮ The weak Gelfand-Phillips property in spaces of compact operators

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