Browsing by Author "Nyongesa, A. M."

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Further Generalization of Unitary Quasi-Equivalence of Operators
(International Journal of Mathematics And its Applications, 2020-10-06) Wanjala, Victor; Nyongesa, A. M.
In this paper, we further generalize the class of n-Unitary Quasi-Equivalence by extending this study to (n,m)-Unitary Quasi-Equivalence. We investigate the properties of this class and also the relation of this equivalence class to other relations.
On Class (Q )
(International Journal of Mathematics And its Applications, 2020-11-12) Wanjala, Victor; Nyongesa, A. M.
Class (Q) operators was introduced and studied by Jibril in (quote). In this paper , we introduce and study the “cousins” to this class, namely class (Q∗). An operator T ∈ B(H) is said to belong to class (Q∗) if T ∗2T 2 = (T T ∗) 2 . We study the algebraic properties of this class. We also strike the relationship between this class and square hyponormal operators through characterization of (α, β)-class (Q) operators
On N Quasi D-Operator Operators
(International Journal of Mathematics And its Applications, 2020-01-11) Wanjala, Victor; Nyongesa, A. M.
: In this paper, we introduce the class of N quasi D-operator acting on the usual Hilbert space H over the complex plane. An operator T is said to be an N quasi D-operator if T(T ∗2 (T D) 2 ) = N(T ∗T D) 2T, where N is a bounded operator on H. We investigate the basic behavior of this class of operator.