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A notion of analytic generator for groups of unbounded operators

Tom 67 / 2005

José E. Galé Banach Center Publications 67 (2005), 185-197 MSC: Primary 47D03, 47A60, 47B48. DOI: 10.4064/bc67-0-15

Streszczenie

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.

Autorzy

  • José E. GaléDepartamento de Matemáticas
    Universidad de Zaragoza
    50009 Zaragoza
    Spain
    e-mail

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