Smooth partitions of unity in preduals of WCG spaces

DOI10.1007/BF02571426zbMath0759.46041MaRDI QIDQ1202419

David P. McLaughlin

Publication date: 2 February 1993

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174439

zbMATH Keywords

smooth approximationsWCG\(C^ k\)-smooth partitions of unity

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Duality and reflexivity in normed linear and Banach spaces (46B10) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (4)

Smooth partitions of unity and approximating norms in Banach spaces ⋮ Smooth partitions of unity on Banach spaces ⋮ Smooth Approximations in Banach Spaces ⋮ Smooth bump functions and the geometry of Banach spaces. A brief survey

Cites Work

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• The three space problem for smooth partitions of unity and \(C(K)\) spaces
• Smoothness in weakly compactly generated Banach spaces
• Some properties of Johnson-Lindenstauss space
• Some remarks on 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)
• Banach Space Properties of Ciesielski-Pol's C(K) Space
• Smooth Approximations in Banach Spaces
• On a dual locally uniformly rotund norm on a dual Vašák space
• Smooth partitions of unity on some non-separable Banach spaces

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