MARKOV DILATIONS OF NONCONSERVATIVE DYNAMICAL SEMIGROUPS AND A QUANTUM BOUNDARY THEORY

Citation
Bvr. Bhat et Kr. Parthasarathy, MARKOV DILATIONS OF NONCONSERVATIVE DYNAMICAL SEMIGROUPS AND A QUANTUM BOUNDARY THEORY, Annales de l'I.H.P. Probabilites et statistiques, 31(4), 1995, pp. 601-651
Citations number
26
Categorie Soggetti
Statistic & Probability","Statistic & Probability
ISSN journal
02460203
Volume
31
Issue
4
Year of publication
1995
Pages
601 - 651
Database
ISI
SICI code
0246-0203(1995)31:4<601:MDONDS>2.0.ZU;2-4
Abstract
A boundary theory for quantum Markov processes associated with noncons ervative one parameter semigroups of completely positive linear contra ctions on a von Neumann algebra is initiated along the lines of Feller , Chung and Dynkin.