@article{MZM_1994_56_6_a7,
author = {A. M. Chebotarev},
title = {On the maximal $C^*$-algebra of zeros of completely positive mapping and on the boundary of a~dynamic semigroup},
journal = {Matemati\v{c}eskie zametki},
pages = {88--105},
year = {1994},
volume = {56},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1994_56_6_a7/}
}
TY - JOUR AU - A. M. Chebotarev TI - On the maximal $C^*$-algebra of zeros of completely positive mapping and on the boundary of a dynamic semigroup JO - Matematičeskie zametki PY - 1994 SP - 88 EP - 105 VL - 56 IS - 6 UR - http://geodesic.mathdoc.fr/item/MZM_1994_56_6_a7/ LA - ru ID - MZM_1994_56_6_a7 ER -
A. M. Chebotarev. On the maximal $C^*$-algebra of zeros of completely positive mapping and on the boundary of a dynamic semigroup. Matematičeskie zametki, Tome 56 (1994) no. 6, pp. 88-105. http://geodesic.mathdoc.fr/item/MZM_1994_56_6_a7/
[1] Chebotarev A. M., “O dostatochnykh usloviyakh konservativnosti minimalnoi dinamicheskoi polugruppy”, Matem. zametki, 52:4 (1992), 112–127 | MR | Zbl
[2] Bhat B. V., Parthatharathy K. R., Markov dilations of nonconservative dynamical semigroups and quantum boundary theory, Preprint ISI, New Delhi, 1993
[3] Stinespring W. F., “Positive functions on $C^*$-algebras”, Proc. Amer. Math. Soc., 6:2 (1955), 211–218 | DOI | MR
[4] Kraus K., Annals of Physics, 64, New-York, 1971, 311–331 | MR
[5] Leib E. H., Ruskai M. B., “Some operator inequalities of Schwartz type”, Advances in Math., 12 (1974), 269–273 | DOI | MR
[6] Neimark M. A., Normed algebras, Walter-Woordhoff, 1972
[7] Chebotarev A. M., “Neobkhodimye i dostatochnye usloviya konservativnosti dinamicheskikh polugruppy”, Itogi nauki i tekhniki. Sovremennye problemy matematiki. Noveishie dostizheniya, 36, VINITI, M., 1990, 149–184
[8] Chebotarev A. M., “Dostatochnye usloviya regulyarnosti skachkoobraznykh markovskikh protsessov”, Teoriya veroyatn. i ee primen., 33:1 (1988), 25–39 | MR
[9] Lindblad G., “On generators of quantum dynamical semigroups”, Commun. Math. Phys., 48:2 (1976), 119–130 | DOI | MR | Zbl
[10] Kato T., Teoriya vozmuschenii lineinykh operatorov, Mir, M., 1972 | Zbl
[11] Bratelli U., Robinson D., Operatornye algebry i kvantovaya statisticheskaya mekhanika, Mir, M., 1982
[12] Edvards R., Funktsionalnyi analiz, Mir, M., 1969