On the Structure of Supercyclic Operators on the Operator Algebra

Authors

  • H. Rezaei Yasouj University

DOI:

https://doi.org/10.30495/jme.v7i0.201

Keywords:

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

Abstract

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.

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Published

2014-01-01

Issue

Vol. 7

Section

Vol. 7, No. 2, (2013)

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