Approximation by \(C^p\)-smooth, Lipschitz functions on Banach spaces

DOI10.1016/j.jmaa.2005.07.009zbMath1111.46061OpenAlexW1992110643MaRDI QIDQ819672

R. Fry

Publication date: 29 March 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.07.009

zbMATH Keywords

Banach spacessmooth approximationunconditional Schauder bases

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Continuous and differentiable maps in nonlinear functional analysis (46T20) Derivatives of functions in infinite-dimensional spaces (46G05) Differentiable maps on manifolds (58C25) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50)

Related Items (4)

On smooth extensions of vector-valued functions defined on closed subsets of Banach spaces ⋮ Invariance of closed convex cones for stochastic partial differential equations ⋮ Approximation by Lipschitz, \(C^p\) smooth functions on weakly compactly generated Banach spaces ⋮ Smooth approximations

Cites Work

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• Approximation de fonctions différentiables sur certains espaces de Banach
• Approximation of Lipschitz functions by \(\Delta\)-convex functions in Banach spaces
• On the topological classification of starlike bodies in Banach spaces
• Approximation by functions with bounded derivative on Banach spaces
• Perturbed smooth Lipschitz extensions of uniformly continuous functions on Banach spaces
• C1-fine approximation of functions on Banach spaces with unconditional basis
• Functional analysis and infinite-dimensional geometry

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