Browsing by Author "Kikete, D. Wabuya"

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    A Study on Properties of (n, m)- Hyponormal Operators
    (Asian Journal of Pure and Applied Mathematics, 2026-01-10) Kikete, D. Wabuya; Luketero, S. Wanyonyi; Mile, J. Kitheka; Wafula, A. W. Wanyonyi
    This paper looks at the properties of (n, m)- hyponormal operators. We show that for an operator A that is (n, m)- hyponormal, and it is equivalent under an isometry to an operator B, then B is also (n, m)- hyponormal. Additionally, the concept of (n, m)-unitary quasiequivalence is introduced, and it is also shown that if an operator A is (n, m)- hyponormal, and is (n, m)-unitary quasiequivalence to an operator B, then Bis also (n, m)- hyponormal.