UNIFORM ERGODICITIES OF MARKOV SEMIGROUPS ON ABSTRACT STATES SPACES

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ERKURŞUN ÖZCAN N., Mukhamedov F.

Journal of Mathematical Sciences (United States), cilt.266, sa.3, ss.448-460, 2022 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 266 Sayı: 3
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1007/s10958-022-05899-5
  • Dergi Adı: Journal of Mathematical Sciences (United States)
  • Derginin Tarandığı İndeksler: Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.448-460
  • Anahtar Kelimeler: C-Markov semigroup, Ergodicity coefficient, Perturbation bound, Uniform P-ergodicity
  • Hacettepe Üniversitesi Adresli: Evet

Özet

© 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.The present paper is devoted to the investigation of uniform stabilities of positive C-semigroups defined on abstract state spaces by means of a generalized Dobrushin ergodicity coefficient. The most known results in the literature were obtained for Markov semigroups acting on Banach lattices having unique invariant states. The essence of the present paper is that the considered Markov semigroups (acting on abstract state spaces) do not generally have invariant states and, moreover, abstract state spaces need not necessarily be lattices, implying that the results of the paper are principal in this direction.