A notion of analytic generator for groups of unbounded operators
Volume 67 / 2005
Banach Center Publications 67 (2005), 185-197
MSC: Primary 47D03, 47A60, 47B48.
DOI: 10.4064/bc67-0-15
Abstract
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 $C_0$ groups of bounded operators. The theory is applicable to sectorial operators, representations of $H^\infty$, and integrated groups.
