Abstract

We consider an equivalent condition to the property of Supercyclicity Criterion, and then we investigate this property for the adjoint of weighted composition operators acting on Hilbert spaces of analytic functions.

Highlights

  • Let T be a bounded linear operator on H

  • We consider an equivalent condition to the property of Supercyclicity Criterion, and we investigate this property for the adjoint of weighted composition operators acting on Hilbert spaces of analytic functions

  • We will investigate the property of Hypercyclicity Criterion for a linear operator and in the special case, we will give sufficient conditions for the adjoint of a weighted composition operator associated with elliptic composition function which satisfies the Supercyclicity Criterion

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Summary

Weighted Composition Operators and Supercyclicity Criterion

We consider an equivalent condition to the property of Supercyclicity Criterion, and we investigate this property for the adjoint of weighted composition operators acting on Hilbert spaces of analytic functions

Introduction
International Journal of Mathematics and Mathematical Sciences
Main Results
Full Text
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