Title of article :
Dynamics of Composition Operators on Hilbert Spaces of Dirichlet Series
Author/Authors :
Yao ، Xingxing Department of Mathematics - Hubei Key Laboratory of Optical Information and Pattern Recognition - Wuhan Institute of Technology
Abstract :
In the present work, we investigate the dynamic behavior of composition operators on Hilbert spaces of Dirichlet series. Especially, we characterize completely their cyclicity. Then it is shown that there are no hypercyclic composition operators, and given a certain class of operators whose adjoints are hypercyclic. All these indicate that there are indigent cyclic composition operators.
Keywords :
Composition operator , Dirichlet series , Cyclicity , Hypercyclicity
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
