On (N+K)- power- D-Operator

• Author(s): Wanjala Victor; A. M. Nyongesa
• Paper ID: 1702856
• Page: 165-167
• 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

Normal operators, D-Operator, Almost Class (Q), quasi -class (Q) operators, N quasi D-operator.

Citations

IRE Journals:
Wanjala Victor, A. M. Nyongesa "On (N+K)- power- D-Operator" Iconic Research And Engineering Journals Volume 5 Issue 3 2021 Page 165-167

IEEE:
Wanjala Victor, A. M. Nyongesa "On (N+K)- power- D-Operator" Iconic Research And Engineering Journals, vol. 5, no. 3, Sep. 2021

APA:
Wanjala Victor, A. M. Nyongesa (2021). On (N+K)- power- D-Operator. Iconic Research And Engineering Journals, 5(3).

MLA:
Wanjala Victor, A. M. Nyongesa "On (N+K)- power- D-Operator" Iconic Research And Engineering Journals, vol. 5, no. 3, Sep. 2021.

BibTeX

@article{1702856,
author = {Wanjala Victor, A. M. Nyongesa},
title = {On (N+K)- power- D-Operator},
journal = {Iconic Research And Engineering Journals},
year = {2021},
volume = {5},
number = {3},
pages = {165-167},
issn = {2456-8880},
url = {https://www.irejournals.com/formatedpaper/1702856.pdf},
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 = {Normal operators, D-Operator, Almost Class (Q), quasi -class (Q) operators, N quasi D-operator.},
month = {September}
}