On the transient and recurrent parts of a quantum Markov semigroup

Veronica 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 -