# On the transient and recurrent parts of a quantum Markov semigroup

Banach Center Publications (2006)

- Volume: 73, Issue: 1, page 415-428
- ISSN: 0137-6934

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topVeronica Umanità. "On the transient and recurrent parts of a quantum Markov semigroup." Banach Center Publications 73.1 (2006): 415-428. <http://eudml.org/doc/282227>.

@article{VeronicaUmanità2006,

abstract = {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.},

author = {Veronica Umanità},

journal = {Banach Center Publications},

language = {eng},

number = {1},

pages = {415-428},

title = {On the transient and recurrent parts of a quantum Markov semigroup},

url = {http://eudml.org/doc/282227},

volume = {73},

year = {2006},

}

TY - JOUR

AU - Veronica Umanità

TI - On the transient and recurrent parts of a quantum Markov semigroup

JO - Banach Center Publications

PY - 2006

VL - 73

IS - 1

SP - 415

EP - 428

AB - 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.

LA - eng

UR - http://eudml.org/doc/282227

ER -

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