Subsystems of Fock need not be Fock: Spatial CP-semigroups-Reference-Cited by-同舟云学术

Subsystems of Fock need not be Fock: Spatial CP-semigroups

Published:2010-02-25 Issue:7 Volume:138 Page:2443-2456
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Bhat B.,Liebscher Volkmar,Skeide Michael

Abstract

We show that a product subsystem of a time ordered system (that is, a product system of time ordered Fock modules), even one of type I, need not be isomorphic to a time ordered product system. In this way, we answer an open problem in the classification of CP-semigroups by product systems. We define spatial strongly continuous CP-semigroups on a unital C ∗ C^* -algebra and characterize them as those CP-semigroups that have a Christensen-Evans generator.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2010-138-07/S0002-9939-10-10260-3/S0002-9939-10-10260-3.pdf

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