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Título:
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Extension of polynomials defined on subspaces.
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Autores:
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Fernandez Unzueta, Maite ;
Prieto Yerro, M. Ángeles
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Tipo de documento:
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texto impreso
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Editorial:
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Cambridge Univ Press, 2010
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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/restrictedAccess
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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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Let k is an element of N and let E be a Banach space such that every k-homogeneous polynomial defined on a subspace of E has an extension to E. We prove that every norm one k-homogeneous polynomial, defined on a subspace, has an extension with a uniformly bounded norm. The analogous result for holomorphic functions of bounded type is obtained. We also prove that given an arbitrary subspace F subset of E. there exists a continuous morphism phi(k,F) : P((k)F) -> P((k)E) satisfying phi(k,F)(P)vertical bar(F) = P, if and only E is isomorphic to a Hilbert space.
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En línea:
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https://eprints.ucm.es/id/eprint/17522/1/PrietoYerro02.pdf
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