Local smoothing of uniformly smooth maps

DOI10.1007/S10688-006-0031-2zbMath1113.46035OpenAlexW2321914986MaRDI QIDQ883626

I. G. Tsar'kov

Publication date: 5 June 2007

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-006-0031-2

zbMATH Keywords

smoothingapproximationuniform smoothnessLipschitz derivativelocal smoothness

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Derivatives of functions in infinite-dimensional spaces (46G05) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50)

Related Items (2)

Weakly monotone sets and continuous selection from a near-best approximation operator ⋮ Smoothing of real-valued functions on uniformly smooth spaces

Cites Work

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• Classical Banach spaces. 1: Sequence spaces. 2. Function spaces.
• On the relation between noncommutativity and the existence of generalized nilpotent elements for certain classes of Banach algebras
• Theorem on matrices depending on parameters and its applications to hyperbolic systems
• A Lipschitz Condition Preserving Extension for a Vector Function

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