Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 81-93 |
| Number of pages | 13 |
| Journal | Communications of the Korean Mathematical Society |
| Volume | 23 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2008 Jan 1 |
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All Science Journal Classification (ASJC) codes
- Mathematics(all)
- Applied Mathematics
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A remark on invariance of quantum Markov semigroups. / Choi, Veni; Ko, Chul Ki.
In: Communications of the Korean Mathematical Society, Vol. 23, No. 1, 01.01.2008, p. 81-93.Research output: Contribution to journal › Article
TY - JOUR
T1 - A remark on invariance of quantum Markov semigroups
AU - Choi, Veni
AU - Ko, Chul Ki
PY - 2008/1/1
Y1 - 2008/1/1
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.
UR - http://www.scopus.com/inward/record.url?scp=41649084771&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=41649084771&partnerID=8YFLogxK
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 -