Alfred Peris1
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.