On Class $ (Q^{*})$


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Authors

  • Wanjala Victor Department of Mathematics, Kibabii university, Bungoma, Kenya
  • A. M. Nyongesa Department of Mathematics, Kibabii university, Bungoma, Kenya

Keywords:

Normal operators, Square-hyponormal operators, Class (Q) operators, Almost Class (Q), Class $ (Q^{*})$ operators

Abstract

Class (Q) operators was introduced and studied by Jibril in (quote). In this paper, we introduce and study the \lq\lq cousins" to this class, namely class $ (Q^{*})$. An operator $T \in B(H)$ is said to belong to class $ (Q^{*})$ if $T^{*2}T^{2}=( TT^{*})^{2}$. We study the algebraic properties of this class. We also strike the relationship between this class and square hyponormal operators through characterization of $(\alpha , \beta)$-class (Q) operators.

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Published

15-06-2021

How to Cite

Wanjala Victor, & A. M. Nyongesa. (2021). On Class $ (Q^{*})$. International Journal of Mathematics And Its Applications, 9(2), 227–230. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/90

Issue

Vol. 9 No. 2 (2021)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

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