Non-Commutative Metrics on Matrix State Spaces
| dc.creator | Wu, Wei | |
| dc.date | 2004-11-22 | |
| dc.date | 2005-03-28 | |
| dc.date.accessioned | 2026-07-07T06:29:44Z | |
| dc.date.available | 2026-07-07T06:29:44Z | |
| dc.description | We use the theory of quantization to introduce non-commutative versions of metric on state space and Lipschitz seminorm. We show that a lower semicontinuous matrix Lipschitz seminorm is determined by their matrix metrics on the matrix state spaces. A matrix metric comes from a lower semicontinuous matrix Lip-norm if and only if it is convex, midpoint balanced, and midpoint concave. The operator space of Lipschitz functions with a matrix norm coming from a closed matrix Lip-norm is the operator space dual of an operator space. They generalize Rieffel's results to the quantized situation. | |
| dc.description | 30 pages, minor changes | |
| dc.identifier | https://arxiv.org/abs/math/0411475 | |
| dc.identifier | http://arxiv.org/abs/math/0411475 | |
| dc.identifier | J. Ramanujan Math. Soc. 20 (2005), no. 3, 215--254 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/98138 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L89; 46L87; 46L30 | |
| dc.title | Non-Commutative Metrics on Matrix State Spaces | |
| dc.type | text |