Restrictions of CP-semigroups to maximal commutative subalgebras
Franco Fagnola; Michael Skeide
Banach Center Publications (2007)
- Volume: 78, Issue: 1, page 121-132
- ISSN: 0137-6934
Access Full Article
top
Abstract
topHow to cite
topFranco Fagnola, and Michael Skeide. "Restrictions of CP-semigroups to maximal commutative subalgebras." Banach Center Publications 78.1 (2007): 121-132. <http://eudml.org/doc/282153>.
@article{FrancoFagnola2007,
abstract = {We give a necessary and sufficient criterion for a normal CP-map on a von Neumann algebra to admit a restriction to a maximal commutative subalgebra. We apply this result to give a far reaching generalization of Rebolledo's sufficient criterion for the Lindblad generator of a Markov semigroup on ℬ(G).},
author = {Franco Fagnola, Michael Skeide},
journal = {Banach Center Publications},
keywords = {von Neumann module; GNS-construction; CP-map; CP-semigroup; maximal commutative subalgebra},
language = {eng},
number = {1},
pages = {121-132},
title = {Restrictions of CP-semigroups to maximal commutative subalgebras},
url = {http://eudml.org/doc/282153},
volume = {78},
year = {2007},
}
TY - JOUR
AU - Franco Fagnola
AU - Michael Skeide
TI - Restrictions of CP-semigroups to maximal commutative subalgebras
JO - Banach Center Publications
PY - 2007
VL - 78
IS - 1
SP - 121
EP - 132
AB - We give a necessary and sufficient criterion for a normal CP-map on a von Neumann algebra to admit a restriction to a maximal commutative subalgebra. We apply this result to give a far reaching generalization of Rebolledo's sufficient criterion for the Lindblad generator of a Markov semigroup on ℬ(G).
LA - eng
KW - von Neumann module; GNS-construction; CP-map; CP-semigroup; maximal commutative subalgebra
UR - http://eudml.org/doc/282153
ER -
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.