RC-commutative ...-semigroups.
A. Nagy (1992)
Semigroup forum
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A. Nagy (1992)
Semigroup forum
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Babcsányi, I., Nagy, A. (1995)
Mathematica Pannonica
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Robert E. Hall (1971)
Czechoslovak Mathematical Journal
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E.G. Tretjakova (1993)
Semigroup forum
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Carlo Cecchini (1998)
Banach Center Publications
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The aim of this paper is to study markovianity for states on von Neumann algebras generated by the union of (not necessarily commutative) von Neumann subagebras which commute with each other. This study has been already begun in [2] using several a priori different notions of noncommutative markovianity. In this paper we assume to deal with the particular case of states which define odd stochastic couplings (as developed in [3]) for all couples of von Neumann algebras involved. In this...
J. Klasa (1971)
Semigroup forum
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T. Tamura (1982)
Semigroup forum
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E. Brian Davies, J. Martin Lindsay (1992)
Mathematische Zeitschrift
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Veronica Umanità (2006)
Banach Center Publications
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We define the transient and recurrent parts of a quantum Markov semigroup 𝓣 on a von Neumann algebra 𝓐 and we show that, when 𝓐 is σ-finite, we can write 𝓣 as the sum of such semigroups. Moreover, if 𝓣 is the countable direct sum of irreducible semigroups each with a unique faithful normal invariant state ρₙ, we find conditions under which any normal invariant state is a convex combination of ρₙ's.