Home / Current Issue / Paper 1702853
On *D-Operator
Subject area: Science,Engineering and Technology · Area of research: Mathematics
Abstract
In this paper, we introduce the class of *D-Operator a bounded linear operator T is said to be a *D-Operator if T ?2(T D)2 = (T D T ?)2. we investigate the basic properties of this class and also show that this class is closed under strong operator topology.
Keywords
D-Operator, *D-Operator, Class (Q), Almost Class (Q), (?, ?)-Class (Q), Normal operators, n-Normal, n-D-Operator operators.
References
[1] Abood and Kadhim. Some properties of D-operator. Iraqi Journal of science, vol.61(12), (2020), 3366-3371.
[2] Ben-Israel, A.and Greville, T.N, Generalized inverses: Theory and applications, sec. ed; springer vralg, New York.
[3] Campbell, S.R. and Meyer, C.D. 1991. Generalized inverses of linear transformations, pitman, New York.
[4] Dana, M and Yousef, R.., On the classes of D-normal operators and D-quasinormal operators on Hilbert space, operators and matrices, vol.12 (2) (2018),465-487.
[5] Jibril, A.A.S.., On Operators for which T ∗2(T)2 = (T ∗T)2, international mathematical forum, vol. 5(46) ,2255-2262.
[6] S. Panayappan, N. Sivamani., On n-power class(Q) operators, Int. Journal ofMath. Analysis, Vol .6 (31) (2012), 1513-1518.
How to cite this paper
@article{1702853,
author = {Wanjala Victor, A. M. Nyongesa},
title = {On *D-Operator},
journal = {Iconic Research And Engineering Journals},
year = {2021},
volume = {5},
number = {3},
pages = {61-63},
issn = {2456-8880},
url = {https://www.irejournals.com/formatedpaper/1702853.pdf},
abstract = {In this paper, we introduce the class of *D-Operator a bounded linear operator T is said to be a *D-Operator if T ?2(T D)2 = (T D T ?)2. we investigate the basic properties of this class and also show that this class is closed under strong operator topology.},
keywords = {D-Operator, *D-Operator, Class (Q), Almost Class (Q), (?, ?)-Class (Q), Normal operators, n-Normal, n-D-Operator operators.},
month = {September},
}