Azagra Rueda, DanielDobrowolski, Tadeusz2023-06-202023-06-202002-030008-439510.4153/CMB-2002-001-7https://hdl.handle.net/20.500.14352/57114We 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 spacesengjournal articlehttp://www.cms.math.ca/cmb/open access517.98Real-analytic diffeomorphicReal-analytic seminormAnálisis funcional y teoría de operadores