arXiv:1407.7258 Abstract | arXiv Analytics

arXiv:1407.7258 [math.FA]Abstract References Reviews Resources

Frequent hypercyclicity in spaces of operators

Published 2014-07-27, updated 2015-03-20Version 2

We obtain conditions for the map C_{A,B}(V)=AVB to be frequently hypercyclic on Banach algebras of operators on Banach spaces. If T is an operator satisfying the Frequent Hypercyclicity Criterion, then the linear map C_T(V)=TVT* is frequently hypercyclic on K(H), the algebra of all compact operators on a Hilbert space H. We also characterize frequently hypercyclic CM? ' ;M on the trace- class of the Hardy space, where M' denotes the multiplication operator associated to '. 1.

Comments: 18 pages, Example 4.5 corrected, communicated

Categories: math.FA

Subjects: 47A16

Keywords: frequent hypercyclicity criterion, banach algebras, banach spaces, hardy space, linear map

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