On class (n+k, mBQ) Operators

• Author(s): Wanjala Victor ; A. M. Nyongesa ; Wanjala Wilberforce
• Paper ID: 1702855
• Page: 162-164
• Published Date: 30-09-2021
• Published In: Iconic Research And Engineering Journals
• Publisher: IRE Journals
• e-ISSN: 2456-8880
• Volume/Issue: Volume 5 Issue 3 September-2021

Abstract

In this paper, we introduce the class of (n+k, mBQ) operators acting on a complex Hilbert space H. An operator if T ? B(H) is said to belong to class (n+k, mBQ) if T ?2mT 2(n+k) commutes with (T ?mTn+k)2 equivalently [T ?2mT 2(n+k), (T ?mTn+k )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+k, m)-power class (Q) operators.

Keywords

(n,m)-power Class (Q),Normal ,Binormal operators , n-power class (Q), (BQ) operators , (n+k ,mBQ) operators.

Citations

IRE Journals:
Wanjala Victor , A. M. Nyongesa , Wanjala Wilberforce "On class (n+k, mBQ) Operators" Iconic Research And Engineering Journals Volume 5 Issue 3 2021 Page 162-164

IEEE:
Wanjala Victor , A. M. Nyongesa , Wanjala Wilberforce "On class (n+k, mBQ) Operators" Iconic Research And Engineering Journals, 5(3)