STABILITY AND PERTURBATIONS OF <i>C</i><sub>0</sub>-MARKOV SEMIGROUPS ON ABSTRACT STATE SPACES

ERKURŞUN ÖZCAN N., Mukhamedov F.

38th international workshop of Infinite Dimensional Analysis and Quantum Probability and Related Topics (IDAQ), Noda, Japan, 2 - 06 October 2017, pp.143-151, (Full Text) identifier

  • Publication Type: Conference Paper / Full Text
  • City: Noda
  • Country: Japan
  • Page Numbers: pp.143-151
  • Hacettepe University Affiliated: Yes

Abstract

Our investigation's aim is to explore stability and perturbation bounds of positive C-0-semigroups on abstract state spaces by means of the Dobrushin's ergodicity coefficient. We obtain a linear relation between the stability of the semigroup and the sensitivity of its fixed point with respect to perturbations of C-0-Markov semigroups.