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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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Official URL: http://www.mscand.dk/

## Abstract

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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