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oai:docta.ucm.es:20.500.14352/495972024-07-15T12:19:42Zcom_20.500.14352_14col_20.500.14352_15

Unconditional bases in tensor products of Hilbert spaces Villanueva Díez, Ignacio Pérez García, David 517.98 Banach-spaces Polynomials Forms Hilbert-Schmidt operators Unconditional basis Tensor products P-summing operators Multilinear operators Análisis funcional y teoría de operadores 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. BMF Depto. de Análisis Matemático y Matemática Aplicada Fac. de Ciencias Matemáticas TRUE pub 2023-06-20T09:27:29Z 2023-06-20T09:27:29Z 2005 journal article https://hdl.handle.net/20.500.14352/49597 0025-5521 eng (BMF 2001-1240) open access application/pdf Matematisk Institut, Universitetsparken NY Munkegade