On A-Self-Adjoint, A-Unitary Operators and Quasiaffinities
Mathematics and Computer Science
Volume 1, Issue 3, September 2016, Pages: 56-60
Received: Aug. 8, 2016; Accepted: Aug. 18, 2016; Published: Sep. 7, 2016
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Author
Isaiah N. Sitati, School of Mathematics, College of Biological and Physical Sciences, University of Nairobi, Nairobi, Kenya
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Abstract
In this paper, we investigate properties of A-self-adjoint operators and other relations on Hilbert spaces. In this context, A is a self-adjoint and an invertible operator. More results on operator equivalences including similarity, unitary and metric equivalences are discussed. We also investigate conditions under which these classes of operators are self- adjoint and unitary. We finally locate their spectra.
Keywords
A-Self-Adjoint, A-Unitary, Hilbert Space, Metric Equivalence, Quasiaffinities
To cite this article
Isaiah N. Sitati, On A-Self-Adjoint, A-Unitary Operators and Quasiaffinities, Mathematics and Computer Science. Vol. 1, No. 3, 2016, pp. 56-60. doi: 10.11648/j.mcs.20160103.14
Copyright
Copyright © 2016 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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