A Notion of Analytic Generator for Groups of Unbounded Operators
نویسندگان
چکیده
We introduce a notion of analytic generator for groups of unbounded operators, on Banach modules, arising from Esterle’s quasimultiplier theory. Characterizations of analytic generators are given in terms of the existence of certain functional calculi. This extends recent results about C0 groups of bounded operators. The theory is applicable to sectorial operators, representations of H∞, and integrated groups.
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