On uniform zero-two law for positive contractions of abstract state spaces

ERKURŞUN ÖZCAN N., Mukhamedov F.

POSITIVITY, no.1, 2025 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Publication Date: 2025
  • Doi Number: 10.1007/s11117-024-01104-w
  • Journal Name: POSITIVITY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, ABI/INFORM, Business Source Elite, Business Source Premier, MathSciNet, zbMATH
  • Hacettepe University Affiliated: Yes

Abstract

In recent years, great attention has been given to abstract state spaces. Also, there are many papers dedicated to zero-two law. In the present paper, we will investigate generalizations of the dominated and uniform zero-two law results for Markov operators defined on abstract state spaces. As a consequence of the obtained results, we can produce several applications of the main theorems.