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

Wanjala Victor1 and A. M. Nyongesa1

1Department of Mathematics and Computing, Rongo University, Kitere Hills, Kenya.

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

Cite this article as: Wanjala Victor and A. M. Nyongesa, On $(n,m)$-Metrically Equivalent Operators, Int. J. Math. And Appl., vol. 9, no. 2, 2021, pp. 101-104.

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