대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제24권1호
  • /
  • Pages.99-109
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  • 2009
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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A REMARK ON ERGODICITY OF QUANTUM MARKOVIAN SEMIGROUPS

  • 발행 : 2009.01.31
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초록

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.

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참고문헌

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