Smooth partitions of unity on Banach spaces

DOI10.1016/J.JFA.2017.03.014zbMath1371.46017OpenAlexW2599520010MaRDI QIDQ529379

Michal Johanis

Publication date: 18 May 2017

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2017.03.014

zbMATH Keywords

smooth bump functionsmooth partitions of unity

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Nonseparable Banach spaces (46B26) Continuous and differentiable maps in nonlinear functional analysis (46T20) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (2)

Smooth norms in dense subspaces of Banach spaces ⋮ On densely isomorphic normed spaces

Cites Work

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• Descriptive topology in selected topics of functional analysis
• The three space problem for smooth partitions of unity and \(C(K)\) spaces
• Smoothness in weakly compactly generated Banach spaces
• Smooth partitions of unity in preduals of WCG spaces
• Banach space theory. The basis for linear and nonlinear analysis
• SMOOTH NORMS AND APPROXIMATION IN BANACH SPACES OF THE TYPE 𝒞(K)
• Smooth analysis in Banach spaces
• Biorthogonal systems in Banach spaces

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