On the Structure of Supercyclic Operators on the Operator Algebra

H. Rezaei


For a separable Banach space X, let L denotes the algebra
of bounded operators on X endowed with the strong operator topology.
In this note we provide a sufficient condition,in terms of open set in
the strong operator topology, for a bounded linear mapping acting on
L to be supercyclic with this topology. The main result has some useful
consequences and make easy the proof of some related results.


Operator algebra, strong operator topology, supercyclic vector, hypercyclic vector

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