Paper Title:

Dynamical properties for multiplication operators on the Bloch space

Author(s):

Hayri Topal

Van Yüzüncü Yil University,
Faculty of Science, Department of Mathematics,
Turkey..
E-mail: hayritopal@yyu.edu.tr
URL: https://avesis.yyu.edu.tr/hayritopal
 

Abstract:

We study some dynamical properties such as uniformly mean ergodicity, mean ergodicity and power boundedness of multiplication operators on the Bloch spaces defined on the unit ball of a Banach or a Hilbert space. Necessary and sufficient conditions are given for dynamical properties of multiplication operators defined on the Bloch spaces endowed with two different topologies: the one of uniform convergence on compact sets and the one defined by the usual norm.

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