Composition operators on weighted Banach spaces of entire functions

Abstract

We completely solve several important problems, such as boundedness and compactness, topological structure, ergodic and dynamical properties, for composition operators on weighted Banach spaces of entire functions with sup-norm.

COMMUNICATED BY:

• V. Bolotnikov

Keywords:

• Composition operator
• weighted Banach space with sup-norm
• topological structure
• ergodic operators
• hypercyclic operators

AMS Subject Classifications:

• Primary 47B33
• Secondary 47B38

Acknowledgments

The author is deeply grateful to the Referee for the useful comments and suggestions that led to the improvement of this paper.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This research is funded by the Vietnam National University, Hanoi (VNU) under project number QG.19.12.