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http://dx.doi.org/10.4134/CKMS.2009.24.1.099

A REMARK ON ERGODICITY OF QUANTUM MARKOVIAN SEMIGROUPS  

Ko, Chul-Ki (UNIVERSITY COLLEGE YONSEI UNIVERSITY)
Publication Information
Communications of the Korean Mathematical Society / v.24, no.1, 2009 , pp. 99-109 More about this Journal
Abstract
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 $\{S_t\}_{t{\geq}0}$ given in [10]. As an application, we study some properties such as the ergodicity and the asymptotic behavior of the semigroup.
Keywords
quantum Markovian semigroups; ergodicity;
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