Department of Mathematics and computing, Rongo University, Kitere Hills Kenya.
World Journal of Advanced Research and Reviews, 2021, 11(02), 053–057
Article DOI: 10.30574/wjarr.2021.11.2.0356
DOI url: https://doi.org/10.30574/wjarr.2021.11.2.0356
Received on 26 June 2021; revised on 02 August 2021; accepted on 05 August 2021
In this paper, we introduce the class of (n, mBQ) operators acting on a complex Hilbert space H. An operator if T ∈ B (H) is said to belong to class (n, mBQ) if T ∗2mT 2n commutes with (T ∗mTn ) 2 equivalently [T ∗2mT 2n, (T ∗mTn)2] = 0, for a positive integers n and m. We investigate algebraic properties that this class enjoys. Have. We analyze the relation of this class to (n,m)-power class (Q) operators.
(n,m)-power Class (Q); Normal; Binormal operators; N-power class (Q); (BQ) operators; (n,mBQ) operators
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Wanjala Victor and Beatrice Adhiambo Obiero. On class (n, mBQ) Operators. World Journal of Advanced Research and Reviews, 2021, 11(02), 053–057. Article DOI: https://doi.org/10.30574/wjarr.2021.11.2.0356
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