On diffeomorphisms deleting weakly compacta in Banach spaces

Daniel Azagra; Alejandro Montesinos

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On diffeomorphisms deleting weakly compacta in Banach spaces

Daniel Azagra·Alejandro Montesinos

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Abstract

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

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Daniel Azagra, Alejandro Montesinos. 2002-08-22. On diffeomorphisms deleting weakly compacta in Banach spaces. https://arxiv.org/abs/math/0208160

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