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On class (BQ) Operators of order n
Subject area: Science,Engineering and Technology · Area of research: Operator Theory
Abstract
In this paper, we extend the class of (BQ) operators acting on a complex Hilbert space H to the class of (BQ) of order n. An operator if T ? B(H) is said to belong to class (BQ) of order n if T ?2nT 2 commutes with (T ?nT)2 that is [T ?2nT 2, (T ?nT)2] = 0. We examine properties that this class is honored to have. We examine the relation of this class to that of class (Q) order n.
Keywords
Class (BQ) of order n , Class (BQ) operator , Normal operator of order n.
References
[1] Jibril, A.A.S.., On Operators for which T ∗2(T)2 = (T ∗T)2, international mathematical forum, vol. 5(46) ,2255-2262.
[2] S. Paramesh, D. Hemalatha and V.J. Nirmala., A study on n-power class (Q)operators, international research journal of engineering and technology, vol.6(1), (2019), 2395-0056.
[3] wanjala Victor and A.M. Nyongesa., On (α, β)-class (Q) Operators, internationaljournal of mathematics and its applications, vol. 9(2) (2021), 111-113.
[4] Wanjala Victor and Beatrice Adhiambo Obiero., On almost class (Q) andclass (M,n) operators ,international journal of mathematics and its applications ,vol. 9(2) (2021), 115-118.
[5] Wanjala Victor and Beatrice Adhiambo Obiero., On class (BQ) operators, Global Journal of Advanced Research, vol. 8(4) (2021), 118-120.
How to cite this paper
@article{1703846,
author = {Wanjala Victor},
title = {On class (BQ) Operators of order n},
journal = {Iconic Research And Engineering Journals},
year = {2022},
volume = {6},
number = {4},
pages = {38-39},
issn = {2456-8880},
url = {https://www.irejournals.com/formatedpaper/1703846.pdf},
abstract = {In this paper, we extend the class of (BQ) operators acting on a complex Hilbert space
H to the class of (BQ) of order n. An operator if T ? B(H) is said to belong to class (BQ) of order n if T ?2nT 2 commutes with (T ?nT)2 that is [T ?2nT 2, (T ?nT)2] = 0. We examine properties that this class is honored to have. We examine the relation of this class to that of class (Q) order n.},
keywords = {Class (BQ) of order n , Class (BQ) operator , Normal operator of order n.},
month = {October},
}