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Título:
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Unconditional bases in tensor products of Hilbert spaces
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Autores:
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Villanueva, Ignacio ;
Pérez García, David
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Tipo de documento:
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texto impreso
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Editorial:
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Matematisk Institut, Universitetsparken NY Munkegade, 2005
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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 prove that a tensor norm alpha (defined on tensor products of Hilbert spaces) is the Hilbert-Schmidt norm if and only if l(2) circle times(...)circle times l(2), endowed with the norm alpha, has an unconditional basis. This extends a classical result of Kwapien and Pelczynski. The symmetric version of that statement follows, and this extends a recent result of Defant, Diaz, Garcia and Maestre.
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En línea:
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https://eprints.ucm.es/id/eprint/12359/1/2001unconditionalhilbert.pdf
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