# A REMARK ON ERGODICITY OF QUANTUM MARKOVIAN SEMIGROUPS

Ko, Chul-Ki

• Published : 2009.01.31
• 43 8

#### 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

#### References

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