On Quasi-class (Q) Operator


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Authors

  • V. Revathi Department of Mathematics, Sri Ramakrishna Engineering College, Coimbatore, Tamil Nadu, India
  • P. Maheswari Naik Department of Mathematics, Sri Ramakrishna Engineering College, Coimbatore, Tamil Nadu, India

Keywords:

Operator, Hilbert Space, Normal, class (Q), quasi-class (Q)

Abstract

In this paper we introduce the new classes of operator namely quasi-class (Q) operator acting on a complex Hilbert space H. An operator $T\in $ quasi-class (Q) if $T\left({T^{*}}^{2} T^{2} \right)=\left(T^{*} T\right)^{2} T$ where $T^{*} $ is the adjoint of the operator \textit{T}. We investigate some basic properties of this operator.

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Published

15-06-2020

How to Cite

V. Revathi, & P. Maheswari Naik. (2020). On Quasi-class (Q) Operator. International Journal of Mathematics And Its Applications, 8(2), 49–65. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/156

Issue

Vol. 8 No. 2 (2020)

Section

Research Article

License

Creative Commons License

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