CHAOTIC AND HYPERCYCLIC OPERATORS ON SOLID BANACH FUNCTION SPACES

Abstract

In this paper, we study hypercyclicity on solid Banach function spaces, and give the characterization for weighted translation operators to be hypercyclic in terms of weight and aperiodic functions. Some sufficient and necessary conditions for these operators to be chaotic are obtained as well.

Keywords

• hypercyclic operator
• chaotic operator
• weighted translation operator
• solid banach function space
• aperiodic function