Communications of the
Korean Mathematical Society
CKMS
ISSN(Print) 1225-1763
ISSN(Online) 2234-3024
Article
HOME
ALL ARTICLES
View
ALL ARTICLES
View
Commun. Korean Math. Soc. 2009; 24(1): 99-109
Printed March 1, 2009
Copyright © The Korean Mathematical Society.
A remark on ergodicity of quantum Markovian semigroups
Chul Ki Ko
Yonsei University
The aim of this paper is to find the set of the fixed elements and the set of elements for which equality holds in Schwarz inequality for the KMS-symmetric Markovian semigroup $\{S_t\}_{t\ge0}$ given in \cite{Pa1}. As an application, we study some properties such as the ergodicity and the asymptotic behavior of the semigroup.
Keywords: quantum Markovian semigroups, ergodicity
MSC numbers: 46L55, 37A60
Article Tools
Stats or Metrics
Share this article on :
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd