Geometry and nonlinear analysis in Banach spaces

DOI10.1007/BFb0075323zbMath0568.46010OpenAlexW2080869071MaRDI QIDQ5902782

Kondagunta Sundaresan, Srinivasa Swaminathan

Publication date: 1985

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bfb0075323

zbMATH Keywords

simultaneous approximationpartitions of unityBernstein and Whitney type approximation in Banach spacescharacterization of a superreflexive Banach space by the existence of a nonzero uniformly continuously differentiable real value function with bounded supportdifferentiability properties of the normdifferentiable manifolds modelled on Banach spaces

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) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20)

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