%0 Journal Article
%A Azagra Rueda, Daniel
%A Dobrowolski, Tadeusz
%T Real-Analytic Negligibility of Points and Subspaces in Banach Spaces, with Applications
%D 2002
%@ 0008-4395
%U https://hdl.handle.net/20.500.14352/57114
%X We prove that every infinite-dimensional Banach space X having a (not necessarily equivalent) real-analytic norm is real-analytic diffeomorphic to X \ {0}. More generally, if X is an infinite-dimensional Banach space and F is a closed subspace of X such that there is a real-analytic seminorm on X whose set of zeros is F, and X / F is infinite-dimensional, then X and X \ F are real-analytic diffeomorphic. As an application we show the existence of real-analytic free actions of the circle and the n-torus on certain Banach spaces
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