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Título:
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Real-Analytic Negligibility of Points and Subspaces in Banach Spaces, with Applications
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Autores:
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Azagra Rueda, Daniel ;
Dobrowolski, Tadeusz
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Tipo de documento:
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texto impreso
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Editorial:
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University of Toronto Press, 2002-03
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Análisis funcional y teoría de operadores
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Tipo = Artículo
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Resumen:
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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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En línea:
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https://eprints.ucm.es/id/eprint/13960/1/2002realanalytic.pdf
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