TY - JOUR
T1 - UNIFORM ERGODICITIES OF MARKOV SEMIGROUPS ON ABSTRACT STATES SPACES
AU - Erkurşun-Özcan, Nazife
AU - Mukhamedov, Farrukh
N1 - Funding Information:
The first author (N.E.Ö.) acknowledges the UNESCO-Loreal Grant “For Women in Science” for the partial support. The second named author (F.M.) thanks the UAEU UPAR Grant No. G00003447 for support.
Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.
PY - 2022/9
Y1 - 2022/9
N2 - 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.
AB - 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.
KW - C-Markov semigroup
KW - Ergodicity coefficient
KW - Perturbation bound
KW - Uniform P-ergodicity
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U2 - 10.1007/s10958-022-05899-5
DO - 10.1007/s10958-022-05899-5
M3 - Article
AN - SCOPUS:85136165924
SN - 1072-3374
VL - 266
SP - 448
EP - 460
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
IS - 3
ER -