Special Session 181: Dirichlet Forms and Related Topics

Feller property and convergence for semi-groups of time-changed processes
Ali BenAmor
University of Sousse, high school for transport and logistics
Tunisia
Co-Author(s):    Kazuhiro Kuwae
Abstract:
We give a substitute to the Feller property for semigroups of time-changed processes; under some conditions this leads to sufficient (new) conditions for the semigroups to be Feller. Moreover, given a standard process and a sequence of measures converging vaguely to a final measure, under some assumptions, we establish convergence of the sequence of the semigroups and the resolvents of the corresponding time changed-processes. .