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Título:
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Perturbed smooth Lipschitz extensions of uniformly continuous functions on Banach spaces
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Autores:
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Azagra Rueda, Daniel ;
Fry, Robb ;
Montesinos Matilla, Luis Alejandro
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Tipo de documento:
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texto impreso
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Editorial:
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America Mathematical Society, 2004-10-21
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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 show that if Y is a separable subspace of a Banach space X such that both X and the quotient X/Y have C-p-smooth Lipschitz bump functions, and U is a bounded open subset of X, then, for every uniformly continuous function f : Y boolean AND U --> R and every epsilon > 0, there exists a C-p-smooth Lipschitz function F : X --> R such that |F(y)- f( y)| less than or equal to epsilon for every y is an element of Y boolean AND U.
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En línea:
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https://eprints.ucm.es/id/eprint/13962/1/2005perturbed.pdf
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