Unconditional bases in tensor products of Hilbert spaces



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Villanueva, Ignacio and Pérez García, David (2005) Unconditional bases in tensor products of Hilbert spaces. Mathematica Scandinavica, 96 (2). pp. 280-288. ISSN 0025-5521

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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.

Item Type:Article
Uncontrolled Keywords:Banach-spaces, Polynomials, Forms, Hilbert-Schmidt operators, Unconditional basis, Tensor products, P-summing operators, Multilinear operators
Subjects:Sciences > Mathematics > Functional analysis and Operator theory
ID Code:12359
Deposited On:07 Mar 2011 11:21
Last Modified:04 Dec 2014 11:44

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