On diffeomorphisms deleting weak compacta in Banach spaces

DOI10.4064/SM162-3-4zbMATH Open1059.46057arXivmath/0208160OpenAlexW2002133450MaRDI QIDQ4811173

Alejandro Montesinos, Daniel Azagra

Publication date: 18 August 2004

Published in: Studia Mathematica (Search for Journal in Brave)

Abstract: We prove that if X is an infinite-dimensional Banach space with C^p smooth partitions of unity, then X and XK are C^p diffeomorphic, for every weakly compact subset K of X.

Full work available at URL: https://arxiv.org/abs/math/0208160

zbMATH Keywords

smooth partitions of unityweak compactadiffeomorphisms in Banach spaces

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Infinite-dimensional manifolds (58B99) Continuous and differentiable maps in nonlinear functional analysis (46T20) Differential topological aspects of diffeomorphisms (57R50)

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