Subordination in the Sense of Bochner and a Related Functional Calculus
نویسندگان
چکیده
We prove a new representation of the generator of a subordinate semigroup as limit of bounded operators. Our construction yields, in particular, a characterization of the domain of the generator. The generator of a subordinate semigroup can be viewed as a function of the generator of the original semigroup. For a large class these functions we show that operations at the level of functions has its counterpart at the level of operators. 1991 Mathematics subject classification (Amer. Math. Soc.): primary 47D03, 47A60, 60J35.
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