On M−quasi Paranormal Operators

Authors

  • Valdete Rexhëbeqaj Hamiti University of Prishtina "Hasan Prishtina"
  • Qefsere Doko Gjonbalaj University of Prishtina "Hasan Prishtina"

DOI:

https://doi.org/10.29020/nybg.ejpam.v15i3.4392

Keywords:

$M-$quasi paranormal operator, $M-$quasi hyponormal operator,, $M-$ paranormal operator

Abstract

In this paper we introduce a new class of operators called M−quasi paranormal operators. A bounded linear operator T in a complex Hilbert space H is said to be a M−quasi paranormal operator if it satisfies ∥T 2x∥ 2 ≤ M∥T 3x∥ · ∥T x∥, ∀x ∈ H, where M is a real positive number. We prove basic properties, the structural and spectral properties of this class of operators.

Downloads

Published

2022-07-31

How to Cite

Hamiti, V. R., & Gjonbalaj, Q. D. (2022). On M−quasi Paranormal Operators . European Journal of Pure and Applied Mathematics, 15(3), 830–840. https://doi.org/10.29020/nybg.ejpam.v15i3.4392

Issue

Vol. 15 No. 3: (July 2022)

Section

Nonlinear Analysis

License

Copyright (c) 2022 European Journal of Pure and Applied Mathematics

Creative Commons License

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

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.