Cocycles of CCR Flows: 149 (Memoirs of the American Mathematical Society) - Softcover

Bhat, B. V. Rajarama

Softcover

ISBN 10: 0821826328 ISBN 13: 9780821826324

Publisher: American Mathematical Society, 2001

Synopsis

We study the partially ordered set of quantum dynamical semigroups dominated by a given semigroup on the algebra of all bounded operators on a Hilbert space. For semigroups of $*$-endomorphisms, this set can be described through cocycles. This helps us to prove a factorization theorem for dilations and to show that minimal dilations of quantum dynamical semigroups with bounded generators can be got through Hudson-Parthasarathy cocycles.

Edition details

• Publisher: American Mathematical Society
• Publication date: 2001
• Language: English
• ISBN 10: 0821826328
• ISBN 13: 9780821826324
• Binding: Paperback
• Number of pages: 114