Weak\(^*\) locally uniformly rotund norms and descriptive compact spaces

DOI10.1016/S0022-1236(02)00037-XzbMath1024.46005MaRDI QIDQ1869038

Yanyan Li

Publication date: 9 April 2003

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

networkdescriptivefragmentablesmooth renormingweak Asplund spacesweak* LUR norms

Mathematics Subject Classification ID

Topological spaces with richer structures (54E99) Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03) Compactness in Banach (or normed) spaces (46B50)

Related Items (14)

On trees and dual rotund norms ⋮ The day norm and Gruenhage compacta ⋮ Compact spaces of Szlenk index \(\omega\) ⋮ Locally uniformly convex norms in Banach spaces and their duals ⋮ On \(\mathcal T_p\)-locally uniformly rotund norms ⋮ On Gruenhage spaces, separating \(\sigma\)-isolated families, and their relatives ⋮ Spaces splittable over the class of Eberlein and descriptive compact spaces ⋮ Gul'ko, descriptive, and Gruenhage compact spaces ⋮ Renormings of \(C(K)\) spaces ⋮ Pointwise uniformly rotund norms ⋮ Sigma-finite dual dentability indices ⋮ Gruenhage compacta and strictly convex dual norms ⋮ Sigma-locally uniformly rotund and sigma-weak\(^*\) Kadets dual norms ⋮ Generalized metric properties of spheres and renorming of Banach spaces

Cites Work

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• Problèmes de renormages. (Renorming problems)
• Norm fragmented weak\(^*\) compact sets
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• On dual locally uniformly rotund norms
• On Weakly Countably Determined Banach Spaces
• A Note on Gul'ko Compact Spaces
• Each weakly countably determined Asplund space admits a Fréchet differentiable norm
• Internal characterization of fragmentable spaces
• The Dual of a Gateaux Smooth Banach Space is Weak Star Fragmentable
• Smooth bump functions and geomentry of Banach spaces
• Trees in Renorming Theory
• Functional analysis and infinite-dimensional geometry

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