$H^{∞}$ functional calculus in real interpolation spaces, II

• Autorzy: Giovanni Dore
• Języki publikacji: EN

Abstrakty

EN

Let A be a linear closed one-to-one operator in a complex Banach space X, having dense domain and dense range. If A is of type ω (i.e.the spectrum of A is contained in a sector of angle 2ω, symmetric about the real positive axis, and $||λ(λI - A)^{-1}||$ is bounded outside every larger sector), then A has a bounded $H^{∞}$ functional calculus in the real interpolation spaces between X and the intersection of the domain and the range of the operator itself.

Kategorie tematyczne

• 46B70: Interpolation between normed linear spaces
• 47A60: Functional calculus

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2001
• Tom: 145
• Numer: 1
• Strony: 75-83

Daty

wydano

2001

Twórcy

autor

Giovanni Dore

• Dipartimento di Matematica, Universita di Bologna, Piazza di Porta S. Donato 5, 40127 Bologna, Italy

Identyfikatory

DOI

10.4064/sm145-1-5