Volume 2, Issue 6, November 2017, Page: 79-88
On Some n-Involution and k-Potent Operators on Hilbert Spaces
Bernard Mutuku Nzimbi, School of Mathematics, College of Biological and Physical Sciences, University of Nairobi, Nairobi, Kenya
Beth Nyambura Kiratu, Department of Pure and Applied Mathematics, Faculty of Applied Sciences and Technology, Technical University of Kenya, Nairobi, Kenya
Stephen Wanyonyi Luketero, School of Mathematics, College of Biological and Physical Sciences, University of Nairobi, Nairobi, Kenya
Received: May 15, 2017;       Accepted: Jun. 3, 2017;       Published: Nov. 14, 2017
DOI: 10.11648/j.mcs.20170206.11      View  2421      Downloads  153
In this paper, we survey various results concerning -involution operators and -potent operators in Hilbert spaces. We gain insight by studying the operator equation , with where . We study the structure of such operators and attempt to gain information about the structure of closely related operators, associated operators and the attendant spectral geometry. The paper concludes with some applications in integral equations.
n-Involution, Idempotent, Spectral Radius, Twist, Invection, Q-Equivalence
To cite this article
Bernard Mutuku Nzimbi, Beth Nyambura Kiratu, Stephen Wanyonyi Luketero, On Some n-Involution and k-Potent Operators on Hilbert Spaces, Mathematics and Computer Science. Vol. 2, No. 6, 2017, pp. 79-88. doi: 10.11648/j.mcs.20170206.11
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