On ($\alpha$,$\beta$)-Class (Q) Operators


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Authors

  • Wanjala Victor Department of Mathematics and Computing, Kibabii University, Bungoma, Kenya
  • A. M. Nyongesa Department of Mathematics and Computing, Kibabii University, Bungoma, Kenya

Keywords:

Class (Q), Normal, $(\alpha,\beta)$-normal, Hypernormal and $(\alpha,\beta)$-Class (Q) operators

Abstract

In this paper, we introduce a new class of operator, the class of $(\alpha,\beta)$-Class (Q) operator acting on a complex Hilbert space $H$. An operator $T \in B(H)$ is said to be $(\alpha,\beta)$-Class (Q) if $\alpha^{2}T^{*2}T^{2}\leq (T^{*}T)^{2}\leq \beta^{2}T^{*2}T^{2}$ for $ 0 \leq \alpha\leq 1 \leq \beta$. We look at some properties that this class are priviledged to enjoy.

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Published

15-06-2021

How to Cite

Wanjala Victor, & A. M. Nyongesa. (2021). On ($\alpha$,$\beta$)-Class (Q) Operators. International Journal of Mathematics And Its Applications, 9(2), 111–113. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/73

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Section

Research Article

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