$H^{∞}$ functional calculus for sectorial and bisectorial operators

• Autorzy: Giovanni Dore , Alberto Venni
• Języki publikacji: EN

Abstrakty

EN

We give a concise exposition of the basic theory of $H^{∞}$ functional calculus for N-tuples of sectorial or bisectorial operators, with respect to operator-valued functions; moreover we restate and prove in our setting a result of N. Kalton and L. Weis about the boundedness of the operator $f(T₁,...,T_{N})$ when f is an R-bounded operator-valued holomorphic function.

Kategorie tematyczne

• 47A60: Functional calculus

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2005
• Tom: 166
• Numer: 3
• Strony: 221-241

Daty

wydano

2005

Twórcy

autor

Giovanni Dore

• Dipartimento di Matematica, Piazza di Porta San Donato, 5, I-40127 Bologna, Italy

autor

Alberto Venni

• Dipartimento di Matematica, Piazza di Porta San Donato, 5, I-40127 Bologna, Italy

Identyfikatory

DOI

10.4064/sm166-3-2