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Título:
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Grothendieck's theorem for absolutely summing multilinear operators is optimal
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Autores:
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Pellegrino, Daniel ;
Seoane-Sepúlveda, Juan B.
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Tipo de documento:
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texto impreso
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Editorial:
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Taylor & Francis, 2015-03
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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
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Tipo = Artículo
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Resumen:
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Grothendieck's theorem asserts that every continuous linear operator from ?1 to ?2 is absolutely (1;1)-summing. In this note we prove that the optimal constant gm so that every continuous m-linear operator from ?1×?×?1 to ?2 is absolutely (gm;1)-summing is 2m+1. We also show that if gm
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En línea:
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https://eprints.ucm.es/id/eprint/29656/1/Seoane212abierto.pdf
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