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On (N+K)- power- D-Operator
Subject area: Science,Engineering and Technology · Area of research: Mathematics
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.
How to cite this paper
Wanjala Victor, A. M. Nyongesa "On (N+K)- power- D-Operator" Iconic Research And Engineering Journals Volume 5 Issue 3 2021 Page 165-167
Wanjala Victor, A. M. Nyongesa "On (N+K)- power- D-Operator" Iconic Research And Engineering Journals, vol. 5, no. 3, Oct. 2021
Wanjala Victor, A. M. Nyongesa (2021). On (N+K)- power- D-Operator. Iconic Research And Engineering Journals, 5(3).
Wanjala Victor, A. M. Nyongesa "On (N+K)- power- D-Operator" Iconic Research And Engineering Journals, vol. 5, no. 3, Oct. 2021.
@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},
}