Decomposition of operator semigroups on W*-algebras
Operator Algebras
2012-01-25 v2 Dynamical Systems
Functional Analysis
Abstract
We consider semigroups of operators on a W-algebra and prove, under appropriate assumptions, the existence of a Jacobs-DeLeeuw-Glicksberg type decomposition. This decomposition splits the algebra into a "stable" and "reversible" part with respect to the semigroup and yields, among others, a structural approach to the Perron-Frobenius spectral theory for completely positive operators on W-algebras.
Cite
@article{arxiv.1106.0287,
title = {Decomposition of operator semigroups on W*-algebras},
author = {András Bátkai and Ulrich Groh and Dávid Kunszenti-Kovács and Marco Schreiber},
journal= {arXiv preprint arXiv:1106.0287},
year = {2012}
}
Comments
referee's comments incorporated. To appear in Semigroup Forum