A notion of analytic generator for groups of unbounded operators

• Autorzy: José E. Galé
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 47B48: Operators on Banach algebras
• 47D03: Groups and semigroups of linear operators
• 47A60: Functional calculus

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2005
• Tom: 67
• Numer: 1
• Strony: 185-197

Daty

wydano

2005

Twórcy

autor

José E. Galé

• Departamento de Matemáticas, Universidad de Zaragoza, 50009 Zaragoza, Spain

Identyfikatory

DOI

10.4064/bc67-0-15