Noncommutative Lp modules
| dc.creator | Junge, Marius | |
| dc.creator | Sherman, David | |
| dc.date | 2003-01-06 | |
| dc.date | 2004-09-14 | |
| dc.date.accessioned | 2026-07-07T04:54:17Z | |
| dc.date.available | 2026-07-07T04:54:17Z | |
| dc.description | We construct classes of von Neumann algebra modules by considering ``column sums" of noncommutative L^p spaces. Our abstract characterization is based on an L^{p/2}-valued inner product, thereby generalizing Hilbert C*-modules and representations on Hilbert space. While the (single) representation theory is similar to the L^2 case, the concept of L^p bimodule (p not 2) turns out to be nearly trivial. | |
| dc.description | 29 pages, to appear in J. Operator Theory. Some proofs from Section 6 have been rewritten to avoid an incorrect result in the literature | |
| dc.identifier | https://arxiv.org/abs/math/0301044 | |
| dc.identifier | http://arxiv.org/abs/math/0301044 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66189 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L52; 46L10 | |
| dc.title | Noncommutative Lp modules | |
| dc.type | text |