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On Class (N+K)-Power (BD) Operators
Subject area: Science,Engineering and Technology · Area of research: Mathematics and Computing
Abstract
In this paper, we introduce the class of (n+k)-power (BD) operators acting on a complex Hilbert space H. An operator if T ? B(H) is said to belong to class(n+k)-power (BD) if T *2 (TD) 2 commutes with (T *TD)2 equivalently [T *2 (TD) 2, (T *TD)2] = 0. We investigate the properties of this class and we also analyze the relation of this class to (n+k)-power D-operator
Keywords
D-operator, Normal, N Quasi D-operator, complex symmetric operators, n-power D-operator , (BD) operators.
References
[1] Abood and Kadhim., some properties of D-operator, Iraqi Journal of Science, vol. 61 (12) (2020),3366-3371.
[2] Jibril, A.A.S.., On Operators for which T ∗2(T)2 = (T ∗T)2, international mathematical forum, vol. 5(46) ,2255-2262.
[3] 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.
[4] Wanjala Victor and A.M. Nyongesa., OnN Quasi D-operators, internationaljournal of mathematics and its applications, vol. 9(2) (2021), 245-248.
[5] Wanjala Victor and Beatrice AdhiamboObiero., On almost class (Q) andclass (M,n) operators ,international journal of mathematics and its applications ,vol. 9(2) (2021), 115-118.
[6] Wanjala Victor and A.M. Nyongesa., On (α, β)-class (Q) Operators, internationaljournal of mathematics and its applications, vol. 9(2) (2021), 111-113.
How to cite this paper
@article{1702852,
author = {Wanjala Victor, Peter Kiptoo Rutto, Wanjala Wilberforce},
title = {On Class (N+K)-Power (BD) Operators},
journal = {Iconic Research And Engineering Journals},
year = {2021},
volume = {5},
number = {3},
pages = {156-158},
issn = {2456-8880},
url = {https://www.irejournals.com/formatedpaper/1702852.pdf},
abstract = {In this paper, we introduce the class of (n+k)-power (BD) operators acting on a complex Hilbert space
H. An operator if T ? B(H) is said to belong to class(n+k)-power (BD) if T *2 (TD) 2 commutes with (T *TD)2 equivalently [T *2 (TD) 2, (T *TD)2] = 0. We investigate the properties of this class and we also analyze the relation of this class to (n+k)-power D-operator},
keywords = {D-operator, Normal, N Quasi D-operator, complex symmetric operators, n-power D-operator
, (BD) operators.},
month = {September},
}