Linear dynamics of operators on B_O(H)
Stefan Ivkovic, Seyyed Mohammad Tabatabaie
TL;DR
This paper characterizes hypercyclic translation operators on the space of compact operators on a Hilbert space and provides conditions for chaos and topological transitivity of related cosine operator functions.
Contribution
It offers a new characterization of hypercyclic operators on compact operator spaces and establishes sufficient conditions for chaos in cosine operator functions.
Findings
Hypercyclic translation operators characterized on compact operators
Sufficient conditions for chaos in cosine operator functions
Topological transitivity criteria established
Abstract
In this paper we characterize hypercyclic translation operators on the space of all compact linear operators on a Hilbert space H. Also, we give some sufficient condition for a related cosine operator function to be chaotic or topologically transitive
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Taxonomy
TopicsHolomorphic and Operator Theory · Advanced Topics in Algebra · Spectral Theory in Mathematical Physics