Iteration of Analytic Normal Functions of Matrices
Citation：
Tao Zhiguang.Iteration of Analytic Normal Functions of Matrices[J].Chinese Annals of Mathematics B,1985,6(1):97~102
Page view： 826Net amount： 719
Authors：
Tao Zhiguang;
Abstract：
In this paper, the author proves that the classical theorem of Wolff in the theory of complex functions may be extended to the class of operator-valued functions f, where f is an analytic function from the open unit disc \Delta in the complex plane into a family of commutative normal operators on a certain n-dimensional complex Hilbert space, and ||f(z)||<1 holds for every z in \Delta.
