Asymptotic behavior of Markov semigroups on preduals of von Neumann algebras

Ernel'yanov E., Wolff M.

Journal of Mathematical Analysis and Applications, vol.314, no.2, pp.749-763, 2006 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 314 Issue: 2
  • Publication Date: 2006
  • Doi Number: 10.1016/j.jmaa.2005.04.016
  • Journal Name: Journal of Mathematical Analysis and Applications
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.749-763
  • Keywords: Domination, Markov operator, Mean ergodicity, Predual, Statistical stability, von Neumann algebra
  • Middle East Technical University Affiliated: Yes

Abstract

We develop a new approach for investigation of asymptotic behavior of Markov semigroup on preduals of von Neumann algebras. With using of our technique we establish several results about mean ergodicity, statistical stability, and constrictiviness of Markov semigroups. © 2005 Elsevier Inc. All rights reserved.