Constructing Extensions of CP-Maps via Tensor Dilations with the Help of Von Neumann Modules
| dc.creator | Gohm, Rolf | |
| dc.creator | Skeide, Michael | |
| dc.date | 2003-11-07 | |
| dc.date | 2004-12-10 | |
| dc.date.accessioned | 2026-07-07T06:30:07Z | |
| dc.date.available | 2026-07-07T06:30:07Z | |
| dc.description | We apply Hilbert module methods to show that normal completely positive maps admit weak tensor dilations. Appealing to a duality between weak tensor dilations and extensions of CP-maps, we get an existence proof for certain extensions. We point out that this duality is part of a far reaching duality between a von Neumann bimodule and its commutant in which also other dualities, known and new, find their natural common place. | |
| dc.description | To appear in Infinite Dimensional Analysis and Quantum Probability 2005. This version replaces the first one submitted under the titel "Normal CP-Maps admit Weak Tensor Dilations". The old titel was missleading, as it puts accent onto the wrong things. We rewrote the abstract and largely the second half of the introduction. A couple of typos has been eliminated, but for the rest the main body of the paper remained unchanged | |
| dc.identifier | https://arxiv.org/abs/math/0311110 | |
| dc.identifier | http://arxiv.org/abs/math/0311110 | |
| dc.identifier | Infin. Dimens. Anal. Quantum Probab. Relat. Top. 8 (291--305) 2005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/98262 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L57 46L53 46L08 | |
| dc.title | Constructing Extensions of CP-Maps via Tensor Dilations with the Help of Von Neumann Modules | |
| dc.type | text |