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.
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