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oai:docta.ucm.es:20.500.14352/571142023-08-25T11:20:29Zcom_20.500.14352_14col_20.500.14352_15

Real-Analytic Negligibility of Points and Subspaces in Banach Spaces, with Applications Azagra Rueda, Daniel Dobrowolski, Tadeusz 517.98 Real-analytic diffeomorphic Real-analytic seminorm Análisis funcional y teoría de operadores 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 Depto. de Análisis Matemático y Matemática Aplicada Fac. de Ciencias Matemáticas TRUE pub 2023-06-20T16:48:58Z 2023-06-20T16:48:58Z 2002-03 journal article https://hdl.handle.net/20.500.14352/57114 0008-4395 10.4153/CMB-2002-001-7 eng open access application/pdf University of Toronto Press