On $(n,m)$-Metrically Equivalent Operators


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Authors

  • Wanjala Victor Department of Mathematics and Computing, Rongo University, Kitere Hills, Kenya
  • A. M. Nyongesa Department of Mathematics and Computing, Rongo University, Kitere Hills, Kenya

Keywords:

(n,m)-metrically equivalent, n-metrically equivalent, metrically equivalent, (n,m)-class(Q), normal and n-normal operators

Abstract

In this paper, we introduce the class of (n,m)-metrically equivalent operators which is a generilazation of metrically equivalent operators and n-metrically equivalent operators. We then look at some properties of this class and its relation to some higher classes like quasi-isometries and the (n,m)-class (Q) operators. we also look at the relationship between this class and other equivalence relations like metrically equivalent and n-metrically equivalent operators.

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Published

15-06-2021

How to Cite

Wanjala Victor, & A. M. Nyongesa. (2021). On $(n,m)$-Metrically Equivalent Operators. International Journal of Mathematics And Its Applications, 9(2), 101–104. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/71

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Section

Research Article

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