Potential Operators for Markov Processes
نویسنده
چکیده
Yosida's definition of potential operators for semigroups [17] makes it possible to deal with transient Markov processes and a class of recurrent Markov processes in a unified operator theoretical way. In this paper, we prove some general properties of his potential operators, show which Markov processes admit the potential operators, and investigate the cases of processes with stationary independent increments as typical examples. Let T, be a strongly continuous semigroup of linear operators on a Banach space A satisfying
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