SPECTRAL CONDITIONS for UNIFORM P-ERGODICITIES of MARKOV OPERATORS on ABSTRACT STATES SPACES

Nazife Erkurşun-Özcan, Farrukh Mukhamedov

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

In the present paper, we deal with asymptotical stability of Markov operators acting on abstract state spaces (i.e. an ordered Banach space, where the norm has an additivity property on the cone of positive elements). Basically, we are interested in the rate of convergence when a Markov operator T satisfies the uniform P-ergodicity, i.e., here P is a projection. We have showed that T is uniformly P-ergodic if and only if, < 0<β. In this paper, we prove that such a β is characterized by the spectral radius of T-P. Moreover, we give Deoblin's kind of conditions for the uniform P-ergodicity of Markov operators.

Original languageEnglish
Pages (from-to)682-696
Number of pages15
JournalGlasgow Mathematical Journal
Volume63
Issue number3
DOIs
Publication statusPublished - Sep 2021

ASJC Scopus subject areas

  • Mathematics(all)

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