Linear dynamics of cosine operator functions on solid Banach function spaces

TL;DR

This paper investigates the conditions under which cosine operator functions on solid Banach function spaces exhibit chaotic or topologically transitive behavior, enhancing understanding of their dynamic properties.

Contribution

It provides new necessary and sufficient conditions for chaos and topological transitivity of cosine operator functions on these spaces.

Findings

Characterization of chaos in cosine operator functions

Criteria for topological transitivity

Conditions linking operator properties to dynamic behavior

Abstract

In this paper, we give some sufficient and necessary conditions for cosine operator functions on solid Banach function spaces to be chaotic or topologically transitive.