Multi-indexed p-orthogonal sums in non-commutative Lebesgue spaces
| dc.creator | Parcet, Javier | |
| dc.date | 2003-12-13 | |
| dc.date | 2004-04-15 | |
| dc.date.accessioned | 2026-07-07T05:03:54Z | |
| dc.date.available | 2026-07-07T05:03:54Z | |
| dc.description | In this paper we extend a recent Pisier's inequality for p-orthogonal sums in non-commutative Lebesgue spaces. To that purpose, we generalize the notion of p-orthogonality to the class of multi-indexed families of operators. This kind of families appear naturally in certain non-commutative Khintchine type inequalities associated with free groups. Other p-orthogonal families are given by the homogeneous operator-valued polynomials in the Rademacher variables or the multi-indexed martingale difference sequences. As in Pisier's result, our tools are mainly combinatorial. | |
| dc.description | To appear in Indiana Univ. Math. J. 14 pages | |
| dc.identifier | https://arxiv.org/abs/math/0312275 | |
| dc.identifier | http://arxiv.org/abs/math/0312275 | |
| dc.identifier | Indiana Univ. Math. J. 53 (2004), 1171-1188. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69598 | |
| dc.subject | Operator Algebras | |
| dc.subject | Combinatorics | |
| dc.subject | 46L52; 05A18 | |
| dc.title | Multi-indexed p-orthogonal sums in non-commutative Lebesgue spaces | |
| dc.type | text |