# Chaotic multipliers on spaces of operators

Universitat Politècnica de València

We use tensor product techniques to study
hypercyclicity and chaos of multipliers defined on certain
operator ideals. An operator
on a Banach space
is hypercyclic if there are vectors whose orbit
is dense in . is chaotic in the
sense of Devaney if, moreover, the set of periodic vectors of
is dense in . We also obtain the first examples of outer
multipliers on a Banach algebra which are chaotic.

#### Footnotes

- ... Peris
^{1}
- joint
work with J. Bonet and F. Martınez Giménez

2005-05-23