Biblioteca de la Universidad Complutense de Madrid

Real-Analytic Negligibility of Points and Subspaces in Banach Spaces, with Applications

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Azagra Rueda, Daniel y Dobrowolski, Tadeusz (2002) Real-Analytic Negligibility of Points and Subspaces in Banach Spaces, with Applications. Canadian Mathematical Bulletin, 45 (1). pp. 3-10. ISSN 0008-4395

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Resumen

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


Tipo de documento:Artículo
Palabras clave:Real-analytic diffeomorphic; Real-analytic seminorm
Materias:Ciencias > Matemáticas > Análisis funcional y teoría de operadores
Código ID:13960
Depositado:25 Nov 2011 12:30
Última Modificación:06 Feb 2014 09:56

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