@article{AIHPB_2005__41_3_505_0,
author = {Goswami, Debashish and Sahu, Lingaraj and Sinha, Kalyan B.},
title = {Dilation of a class of quantum dynamical semigroups with unbounded generators on {UHF} algebras},
journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
pages = {505--522},
year = {2005},
publisher = {Elsevier},
volume = {41},
number = {3},
doi = {10.1016/j.anihpb.2004.12.001},
mrnumber = {2139031},
zbl = {1072.81038},
language = {en},
url = {https://www.numdam.org/articles/10.1016/j.anihpb.2004.12.001/}
}
TY - JOUR AU - Goswami, Debashish AU - Sahu, Lingaraj AU - Sinha, Kalyan B. TI - Dilation of a class of quantum dynamical semigroups with unbounded generators on UHF algebras JO - Annales de l'I.H.P. Probabilités et statistiques PY - 2005 SP - 505 EP - 522 VL - 41 IS - 3 PB - Elsevier UR - https://www.numdam.org/articles/10.1016/j.anihpb.2004.12.001/ DO - 10.1016/j.anihpb.2004.12.001 LA - en ID - AIHPB_2005__41_3_505_0 ER -
%0 Journal Article %A Goswami, Debashish %A Sahu, Lingaraj %A Sinha, Kalyan B. %T Dilation of a class of quantum dynamical semigroups with unbounded generators on UHF algebras %J Annales de l'I.H.P. Probabilités et statistiques %D 2005 %P 505-522 %V 41 %N 3 %I Elsevier %U https://www.numdam.org/articles/10.1016/j.anihpb.2004.12.001/ %R 10.1016/j.anihpb.2004.12.001 %G en %F AIHPB_2005__41_3_505_0
Goswami, Debashish; Sahu, Lingaraj; Sinha, Kalyan B. Dilation of a class of quantum dynamical semigroups with unbounded generators on UHF algebras. Annales de l'I.H.P. Probabilités et statistiques, Tome 41 (2005) no. 3, pp. 505-522. doi: 10.1016/j.anihpb.2004.12.001
[1] , , , A covariant quantum stochastic dilation theory. Stochastics in finite and infinite dimensions, in: Trends Math., Birkhäuser Boston, Boston, MA, 2001, pp. 89-99. | Zbl | MR
[2] , , Hilbert modules and stochastic dilation of a quantum dynamical semigroup on a von Neumann algebra, Comm. Math. Phys. 205 (2) (1999) 377-403. | Zbl | MR
[3] , , Stochastic dilation of symmetric completely positive semigroups, Preprint, available at, http://xxx.lanl.gov/math-ph/0201005.
[4] , , , Stochastic dilation of a quantum dynamical semigroup on a separable unital -algebra, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 3 (1) (2000) 177-184. | Zbl
[5] , , Quantum Ito's formula and stochastic evolutions, Comm. Math. Phys. 93 (3) (1984) 301-323. | Zbl | MR
[6] , Markov semigroups on UHF algebras, Rev. Math. Phys. 5 (3) (1993) 587-600. | Zbl | MR
[7] , Quantum Probability for Probabilist, Lecture Notes in Math., vol. 1538, Springer-Verlag, Heidelberg, 1993. | Zbl | MR
[8] , Quantum stochastic differential equations with unbounded coefficients and dilations of Feller's minimal solution, Sankhyā Ser. A 53 (3) (1991) 255-287. | Zbl | MR
[9] , , Stochastic dilation of minimal quantum dynamical semigroup, Proc. Indian Acad. Sci. Math. Sci. 102 (3) (1992) 159-173. | Zbl | MR
[10] , An Introduction to Quantum Stochastic Calculus, Monographs Math., vol. 85, Birkhäuser, Basel, 1992. | Zbl | MR
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