A Banach space admits a locally uniformly rotund norm if its dual is a Vašák space

DOI10.1007/BF02937305zbMath0764.46012OpenAlexW2095065090MaRDI QIDQ1813673

Stanimir Troyanski, Marian J. Fabian

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1007/bf02937305

zbMATH Keywords

equivalent locally uniformly rotund normVašák spaceweakly countably determined

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03)

Related Items (5)

On certain classes of Markushevich bases ⋮ On equivalent characterizations of weakly compactly generated Banach spaces ⋮ Smooth Approximations in Banach Spaces ⋮ On weakly locally uniformly rotund Banach spaces ⋮ On weakly Lindelöf Banach spaces

Cites Work

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• A proof of the theorem of Amir and Lindenstrauss
• Smoothness in weakly compactly generated Banach spaces
• Geometry of Banach spaces. Selected topics
• The structure of weakly compact sets in Banach spaces
• Locally Uniformly Rotund Renorming and Injections Into c₀(Γ)
• Locally uniformly rotund renorming and decompositions of Banach spaces
• On Weakly Countably Determined Banach Spaces
• ON THE STRUCTURE OF SPACES OF CONTINUOUS FUNCTIONS AND THEIR COMPLETE PARACOMPACTNESS
• On one generalization of weakly compactly generated Banach spaces
• On locally uniformly convex and differentiable norms in certain non-separable Banach spaces

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