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On Skew Class (BQ) Operators
Subject area: Science,Engineering and Technology · Area of research: Mathematics and computing
Abstract
The class of Skew (BQ) operators acting on the complex Hilbert space H is introduced in this paper. An operator if K ?L (H) is said to belong to class Skew (BQ) if K commutes with a (BQ) operator, that is, [K?2K2 (K?K) 2] K = K [(K?K) 2 K?2K2]. We explore some properties that this class is enriched with. We then scan the relation of this class to other classes and then oversimplify it to the class of Skew (nBQ).
Keywords
Skew-Normal, Skew-Binormal operators, (BQ) operators, Skew-(BQ) Operators.
References
[1] Jibril, A.A.S.., On Operators for which T ∗2 T2 = (T ∗T)2, international mathematical forum, vol. 5(46) ,2255-2262.
[2] K Meenambika , C.V. Seshaiah and N. Sivamani., Skew Binormal operators acting on a Hilbert space , IOP Conf. series : Journal of physics : conf. series 1139 (2018) 012056.
[3] K Meenambika , C.V. Seshaiah and N. Sivamani., The class of n-skew n-binormal operator , IOP Conf. series : Materials science and Engineering , 1145 (2021) 012072.
[4] SadiqNaji Nassir Al-Nassir1, Radhi I.M. Ali., On 2-self-adjoint operators, Mathematical Theory and Modelling, vol.6(3) (2016), 2224-5804.
[5] Wanjala Victor and Beatrice AdhiamboObiero., On class (BQ) operators, Global Journal of Advanced Research, vol. 8(4) (2021), 118-120.
How to cite this paper
@article{1703953,
author = {Wanjala Victor, Beatrice Obiero Adhiambo},
title = {On Skew Class (BQ) Operators},
journal = {Iconic Research And Engineering Journals},
year = {2022},
volume = {6},
number = {6},
pages = {195-198},
issn = {2456-8880},
url = {https://www.irejournals.com/formatedpaper/1703953.pdf},
abstract = {The class of Skew (BQ) operators acting on the complex Hilbert space
H is introduced in this paper. An operator if K ?L (H) is said to belong to class Skew (BQ) if K commutes with a (BQ) operator, that is, [K?2K2 (K?K) 2] K = K [(K?K) 2 K?2K2]. We explore some properties that this class is enriched with. We then scan the relation of this class to other classes and then oversimplify it to the class of Skew (nBQ).},
keywords = {Skew-Normal, Skew-Binormal operators, (BQ) operators, Skew-(BQ) Operators.},
month = {December},
}