Chaotic multipliers on spaces of operators

Alfred Peris1

Universitat Politècnica de València

We use tensor product techniques to study hypercyclicity and chaos of multipliers defined on certain operator ideals. An operator $T:X \rightarrow X$ on a Banach space $X$ is hypercyclic if there are vectors $x \in X$ whose orbit $\{
x, Tx, T^2x, \dots \}$ is dense in $X$. $T$ is chaotic in the sense of Devaney if, moreover, the set of periodic vectors of $T$ is dense in $X$. We also obtain the first examples of outer multipliers on a Banach algebra which are chaotic.


... Peris1
joint work with J. Bonet and F. Martınez Giménez