On diffeomorphisms deleting weakly compacta in Banach spaces

Details On diffeomorphisms deleting weakly compacta in Banach spaces On diffeomorphisms deleting weakly compacta in Banach spaces

2002-08-22

arxiv.org/abs/math/0208160v1

Mathematics

Functional Analysis

18 pages

Scientific paper

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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