Volume 4, Issue 1, June 2019, Page: 45-51
(Alpha, Beta)-Normal and Skew n-Normal Composite Multiplication Operator on Hilbert Spaces
Senthil, Department of Economics and Statistics, Government of Tamilnadu, DRDA, Dindigul, India
Nithya, Department of Mathematics, Mother Teresa Women’s University, Kodaikanal, India
Suryadevi, Department of Mathematics, Vickram College of Engineering, Enathi, India
David Chandrakumar, Department of Mathematics, Vickram College of Engineering, Enathi, India
Received: Feb. 15, 2019;       Accepted: Mar. 19, 2019;       Published: May 6, 2019
DOI: 10.11648/j.dmath.20190401.17      View  22      Downloads  6
Abstract
In this paper, the condition under which composite multiplication operators on Hilbert spaces become skew n-normal operators, (Alpha, Beta)-normal, parahyponormal and quasi-parahyponormal have been obtained in terms of radon-nikodym derivative.
Keywords
Composite Multiplication Operator, Conditional Expectation, Aluthge Transformation, Skew n-Normal Operator, Parahyponormal
To cite this article
Senthil, Nithya, Suryadevi, David Chandrakumar, (Alpha, Beta)-Normal and Skew n-Normal Composite Multiplication Operator on Hilbert Spaces, International Journal of Discrete Mathematics. Vol. 4, No. 1, 2019, pp. 45-51. doi: 10.11648/j.dmath.20190401.17
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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