Smooth partitions of unity and approximating norms in Banach spaces

DOI10.1216/rmjm/1181072210zbMath0869.46006OpenAlexW2067639393MaRDI QIDQ1912640

David P. McLaughlin

Publication date: 13 May 1996

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072210

zbMATH Keywords

\(C^ k\)-smooth partitions of unity\(C^ k\)-smooth locally uniformly rotund normLUR-norms

Mathematics Subject Classification ID

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

Related Items (2)

Smooth partitions of unity in Banach spaces ⋮ On regularization in Banach spaces

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
• Norms with locally Lipschitzian derivatives
• Smooth partitions of unity in preduals of WCG spaces
• Geometry of Banach spaces. Selected topics
• Smooth partitions of unity in Banach spaces
• Smoothness and its equivalents in weakly compactly generated Banach spaces
• The dual of every Asplund space admits a projectional resolution of the identity
• Locally Uniformly Rotund Renorming and Injections Into c₀(Γ)
• Smooth Approximations in Banach Spaces
• On projectional resolution of identity on the duals of certain Banach spaces
• Smooth partitions of unity on some non-separable Banach spaces

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