RT Journal Article
T1 Real-Analytic Negligibility of Points and Subspaces in Banach Spaces, with Applications
A1 Azagra Rueda, Daniel
A1 Dobrowolski, Tadeusz
AB 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
PB University of Toronto Press
SN 0008-4395
YR 2002
FD 2002-03
LK https://hdl.handle.net/20.500.14352/57114
UL https://hdl.handle.net/20.500.14352/57114
LA eng
DS Docta Complutense
RD 12 abr 2025