%0 Journal Article
%A Villanueva, Ignacio
%A Pérez García, David
%T Unconditional bases in tensor products of Hilbert spaces
%D 2005
%@ 0025-5521
%U https://hdl.handle.net/20.500.14352/49597
%X 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.
%~