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Título:
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Maurey-Rosenthal factorization for p-summing operators and Dodds-Fremlin domination
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Autores:
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Palazuelos Cabezón, Carlos ;
Sánchez Pérez, Enrique A. ;
Tradacete Pérez, Pedro
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Tipo de documento:
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texto impreso
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Editorial:
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The Theta Foundation, 2012
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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
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Tipo = Artículo
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Resumen:
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We characterize by means of a vector norm inequality the space of operators that factorize through a p-summing operator from an L-r-space to an L-s-space. As an application, we prove a domination result in the sense of Dodds-Fremlin for p-summing operators on Banach lattices with cotype 2, showing moreover that this cannot hold in general for spaces with higher cotype. We also present a new characterization of Banach lattices satisfying a lower 2-estimate in terms of the order properties of 2-summing operators.
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En línea:
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https://eprints.ucm.es/id/eprint/24433/1/Palazuelos02.pdf
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