$H^{\infty }$ functional calculus for sectorial and bisectorial operators
Volume 166 / 2005
Studia Mathematica 166 (2005), 221-241
MSC: Primary 47A60.
DOI: 10.4064/sm166-3-2
Abstract
We give a concise exposition of the basic theory of $H^\infty$ 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 $f(T_1,\ldots,T_N)$ when $f$ is an R-bounded operator-valued holomorphic function.
