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<p>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.</p>

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

  • 期刊论文

  • 发表日期：

    2025年2月4日

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  • Nazife Erkurşun-Özcan,
  • Farrukh Mukhamedov

摘要

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.