Locally Uniformly Rotund Renorming and Injections Into c0(Γ)

DOI10.4153/CMB-1984-079-8zbMath0556.46011OpenAlexW2907021467MaRDI QIDQ3219300

Gilles Godefroy, Václav Zizler, J. H. M. Whitfield, Stanimir Troyanski

Publication date: 1984

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cmb-1984-079-8

zbMATH Keywords

differentiability of the normrenorminglocal uniform rotundityRadon- Nikodym propertyequivalent Fréchet-smooth norm

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20)

Related Items (9)

Problèmes de renormages. (Renorming problems) ⋮ Smooth partitions of unity and approximating norms in Banach spaces ⋮ Renorming in the space of Bochner integrable functions \(L_ 1(\mu{},X)\) ⋮ Smooth partitions of unity in preduals of WCG spaces ⋮ Smooth Approximations in Banach Spaces ⋮ A locally uniformly convex renorming for certain ℒ(K) ⋮ A Banach space admits a locally uniformly rotund norm if its dual is a Vašák space ⋮ On weakly locally uniformly rotund Banach spaces ⋮ On weakly Lindelöf Banach spaces

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