Document Type : Research Paper

Authors

• Mansooreh Moosapoor ¹
• Ismail Nikoufar ²

¹ Associate Professor, Department of Mathematics Education, Farhangian University, P.O. Box 14665-889, Tehran, Iran.

² Associate Professor, Department of Mathematics, Payame Noor University, Tehran, Iran.

Abstract

In this article, we introduce quasi-mixing operators and construct various examples. We prove that quasi-mixing operators exist on all finite-dimensional and infinite-dimensional  Banach spaces. We also prove that an invertible operator $T$ is quasi-mixing if and only if $T^{-1}$ is quasi-mixing. We state some sufficient conditions  under which an operator is quasi-mixing. Moreover, we prove that the direct sum of two operators is quasi-mixing if and only if any of them is quasi-mixing.

Keywords

• Quasi-mixing operators
• Mixing operators
• Direct sum
• Hypercyclic operators

Main Subjects

• Functional Analysis and Operator Theory