Volume 5, Issue 4, August 2019, Page: 63-67
Some Property of Finite Sum of Weighted Composition and Weighted Frobenius-Perron Operators
Abolghasem Alishahi, Department of Mathematics, Payame Noor University, Tehran, Iran
Received: May 26, 2019;       Accepted: Jul. 1, 2019;       Published: Oct. 25, 2019
DOI: 10.11648/j.ijtam.20190504.12      View  27      Downloads  6
Abstract
The study of finite sum of weighted composition operators on Lp - spaces has received considerable attention in 2012. Characterizations, basic properties of this operators have been obtained. Weighted composition operators are a general class of operators and they appear naturally in the study of surjective isometries on most of the function spaces, semi grup theory, dynamic systems etc. This type of operators are a generalization of multiplication operators and composition operators. In this paper the relations among completely continuous and M‎ - weakly compact of finite sum of weighted composition operators between Lp(μ) -‎ spaces described, we also obtain some necessary and sufficient conditions for Fredholmness of the finite sum of weighted composition operators.
Keywords
Completely Continuous, M ‎- weakly Compact, Fredholm Operators, Absolutely Continuous, Conditional Expectation Operator
To cite this article
Abolghasem Alishahi, Some Property of Finite Sum of Weighted Composition and Weighted Frobenius-Perron Operators, International Journal of Theoretical and Applied Mathematics. Vol. 5, No. 4, 2019, pp. 63-67. doi: 10.11648/j.ijtam.20190504.12
Copyright
Copyright © 2019 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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