@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}, volume = {41}, year = {2005}, pages = {505-522}, doi = {10.1016/j.anihpb.2004.12.001}, mrnumber = {2139031}, zbl = {1072.81038}, language = {en}, url = {http://dml.mathdoc.fr/item/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) pp. 505-522. doi : 10.1016/j.anihpb.2004.12.001. http://gdmltest.u-ga.fr/item/AIHPB_2005__41_3_505_0/
[1] A covariant quantum stochastic dilation theory. Stochastics in finite and infinite dimensions, in: Trends Math., Birkhäuser Boston, Boston, MA, 2001, pp. 89-99. | MR 1797082 | Zbl 0982.46056
, , ,[2] Hilbert modules and stochastic dilation of a quantum dynamical semigroup on a von Neumann algebra, Comm. Math. Phys. 205 (2) (1999) 377-403. | MR 1712583 | Zbl 0935.46055
, ,[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 01988941
, , ,[5] Quantum Ito's formula and stochastic evolutions, Comm. Math. Phys. 93 (3) (1984) 301-323. | MR 745686 | Zbl 0546.60058
, ,[6] Markov semigroups on UHF algebras, Rev. Math. Phys. 5 (3) (1993) 587-600. | MR 1240735 | Zbl 0794.46049
,[7] Quantum Probability for Probabilist, Lecture Notes in Math., vol. 1538, Springer-Verlag, Heidelberg, 1993. | MR 1222649 | Zbl 0773.60098
,[8] Quantum stochastic differential equations with unbounded coefficients and dilations of Feller's minimal solution, Sankhyā Ser. A 53 (3) (1991) 255-287. | MR 1189771 | Zbl 0751.60062
,[9] Stochastic dilation of minimal quantum dynamical semigroup, Proc. Indian Acad. Sci. Math. Sci. 102 (3) (1992) 159-173. | MR 1213635 | Zbl 0766.60119
, ,[10] An Introduction to Quantum Stochastic Calculus, Monographs Math., vol. 85, Birkhäuser, Basel, 1992. | MR 1164866 | Zbl 0751.60046
,