TY - JOUR
T1 - A remark on invariance of quantum Markov semigroups
AU - Choi, Veni
AU - Ko, Chul Ki
N1 - Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2008
Y1 - 2008
N2 - In [3, 9], using the theory of noncommutative Dirichlet forms in the sense of Cipriani [6] and the symmetric embedding map, authors constructed the KMS-symmetric Markovian semigroup {St}t≥o on a von Neumann algebra M with an admissible function f and an operator x ∈ M. We give a sufficient and necessary condition for x so that the semigroup {St}t≥o acts separately on diagonal and off-diagonal operators with respect to a basis and study some results.
AB - In [3, 9], using the theory of noncommutative Dirichlet forms in the sense of Cipriani [6] and the symmetric embedding map, authors constructed the KMS-symmetric Markovian semigroup {St}t≥o on a von Neumann algebra M with an admissible function f and an operator x ∈ M. We give a sufficient and necessary condition for x so that the semigroup {St}t≥o acts separately on diagonal and off-diagonal operators with respect to a basis and study some results.
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U2 - 10.4134/CKMS.2008.23.1.081
DO - 10.4134/CKMS.2008.23.1.081
M3 - Article
AN - SCOPUS:41649084771
VL - 23
SP - 81
EP - 93
JO - Communications of the Korean Mathematical Society
JF - Communications of the Korean Mathematical Society
SN - 1225-1763
IS - 1
ER -