On Almost Class (Q) and Class $(M,n)$ Operators

# Wanjala Victor1 and Beatrice Adhiambo Obiero1

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

Abstract: In this paper we investigate Some basic properties of n-Perinormal operators and its relation to other classes of operators. We equally introduce a new class of operators, Almost Class (Q) operators. This is achieved by relaxing the conditions for (Q) we generalize this class to the class of n and (n,m)-Almost Class (Q) and a result is given on the class of (n,m)-Almost Class (Q) operator.
Keywords: n-perinormal, n-power-hyponormal, quasi n-power-hyponormal operators, Almost Class (Q), Class (Q) operators.

Cite this article as: Wanjala Victor and Beatrice Adhiambo Obiero, On Almost Class (Q) and Class $(M,n)$ Operators, Int. J. Math. And Appl., vol. 9, no. 2, 2021, pp. 115-118.

References
1. T. Furuta, Invitation to Linear Operators from Matrices Bounded Linear Operators on a Hilbert Space, Taylor and Francis, London, (2001).
2. A. A. Jibril, On Almost Similar Operators, Arabian J. Sci. Engg., 21(1996), 442-449.
3. A. A. Jibril, On operators for which $T^{*2}T^{2} = (T^{*}T)^{2}$, International Mathematics Forum, 46(2010), 2255-2262.
4. A. A. Jibril, On operators whose squares are 2-normal, Journal of Mathematical Sciences : Advances and Applications, 8(2011), 61-72.
5. Mesaoud Guesba and Mostefa Nadir, On n-power-hyponormal operators, Global journal of Pure and Applied Mathematics, 12(2016), 473-479.
6. S. K. Berberian, Introduction to Hilbert space, Chelsea Publishing Company, New-York, (1976).

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