Villanueva, Ignacio and Pérez García, David (2005) Unconditional bases in tensor products of Hilbert spaces. Mathematica Scandinavica, 96 (2). pp. 280288. ISSN 00255521

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Abstract
We prove that a tensor norm alpha (defined on tensor products of Hilbert spaces) is the HilbertSchmidt 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:  Banachspaces, Polynomials, Forms, HilbertSchmidt operators, Unconditional basis, Tensor products, Psumming operators, Multilinear operators 
Subjects:  Sciences > Mathematics > Functional analysis and Operator theory 
ID Code:  12359 
Deposited On:  07 Mar 2011 11:21 
Last Modified:  06 Feb 2014 09:23 
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