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Título:
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Extension of multilinear operators on Banach spaces
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Autores:
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Villanueva, Ignacio ;
Cabello Sánchez, Félix ;
García, R.
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Tipo de documento:
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texto impreso
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Editorial:
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Universidad de Extremadura, Departamento de Matemáticas, 2001
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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 matemático
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Tipo = Artículo
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Resumen:
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This paper considers the problem of extending multilinear forms on a Banach space X to a larger space Y containing it as a closed subspace. For instance, if X is a subspace of Y and X0 ! Y 0 extends linear forms, then the induced Nicodemi operators extend multilinear forms. It is shown that an extension operator X0 ! Y 0 exists if and only if X is locally complemented in Y . Also, these extension operators preserve the symmetry if and only if X is regular. Finally, multlinear characterizations are obtained of some classical Banach space properties (Dunford-Pettis, etc.) related to weak compactness in terms of operators having Z-valued Aron-Berner extensions.
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En línea:
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https://eprints.ucm.es/id/eprint/11524/1/2000Extensionofmultilinearoperators.pdf
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