On Unitary Quasi-Equivalence of Operators


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Authors

  • Bernard Mutuku Nzimbi School of Mathematics, College of Biological and Physical Sciences, University of Nairobi, Nairobi, Kenya
  • Stephen Wanyonyi Luketero School of Mathematics, College of Biological and Physical Sciences, University of Nairobi, Nairobi, Kenya

Keywords:

Unitary quasi-equivalence, near-equivalence, isometric equivalence, metric equivalence, skew-normal

Abstract

In this paper we investigate unitary quasi-equivalence of operators in Hilbert spaces. We characterize operators that are unitarily quasi-equivalent. We also investigate equivalence relations closely related to unitary quasi-equivalence. We give and prove conditions under which unitary quasi-equivalence coincides with other operator equivalence relations.

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Published

15-03-2020

How to Cite

Bernard Mutuku Nzimbi, & Stephen Wanyonyi Luketero. (2020). On Unitary Quasi-Equivalence of Operators. International Journal of Mathematics And Its Applications, 8(1), 207–215. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/193

Issue

Vol. 8 No. 1 (2020)

Section

Research Article

License

Creative Commons License

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