Asymptotic behavior of Markov semigroups on preduals of von Neumann algebras

Ernel'yanov E., Wolff M.

Journal of Mathematical Analysis and Applications, cilt.314, sa.2, ss.749-763, 2006 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 314 Sayı: 2
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1016/j.jmaa.2005.04.016
  • Dergi Adı: Journal of Mathematical Analysis and Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.749-763
  • Anahtar Kelimeler: Domination, Markov operator, Mean ergodicity, Predual, Statistical stability, von Neumann algebra
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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.