RT Journal Article T1 Unconditional bases in tensor products of Hilbert spaces A1 Villanueva Díez, Ignacio A1 Pérez García, David AB 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. PB Matematisk Institut, Universitetsparken NY Munkegade SN 0025-5521 YR 2005 FD 2005 LK https://hdl.handle.net/20.500.14352/49597 UL https://hdl.handle.net/20.500.14352/49597 LA eng NO BMF DS Docta Complutense RD 6 abr 2025