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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.
How to cite this paper
Wanjala Victor, Peter Kiptoo Rutto, Wanjala Wilberforce "On Class (N+K)-Power (BD) Operators" Iconic Research And Engineering Journals Volume 5 Issue 3 2021 Page 156-158
Wanjala Victor, Peter Kiptoo Rutto, Wanjala Wilberforce "On Class (N+K)-Power (BD) Operators" Iconic Research And Engineering Journals, vol. 5, no. 3, Oct. 2021
Wanjala Victor, Peter Kiptoo Rutto, Wanjala Wilberforce (2021). On Class (N+K)-Power (BD) Operators. Iconic Research And Engineering Journals, 5(3).
Wanjala Victor, Peter Kiptoo Rutto, Wanjala Wilberforce "On Class (N+K)-Power (BD) Operators" Iconic Research And Engineering Journals, vol. 5, no. 3, Oct. 2021.
@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},
}