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On N Quasi (m, p+k)-power D-Operator Operators
Subject area: Science,Engineering and Technology · Area of research: Mathematics
Abstract
In this paper, we introduce the class of (p+k)-D-Operator acting on the usual Hilbert space H over the complex plane. An operator T is said to be an (p+k)-D-Operator if T (T ?2 (T D) 2(p+k)) = N (T ? (TD) p+k) 2T for positive integers p and k and for N which is a bounded operator on H. We investigate the basic behavior of this class of operator.
Keywords
Normal operators, D-Operator, Almost Class (Q), quasi -class (Q) operators, N quasi D-operator.
References
[1] Abood and Kadhim. Some properties of D-operator. Iraqi Journal of science, vol.61(12), (2020), 3366-3371.
[2] Campbell, S.R. and Meyer, C.D. 1991. Generalized inverses of linear transformations, pitman, New York.
[3] Dana, M and Yousef, R.., on the classes of D-normal operators and D-quasi normal operators on Hilbert space, operators and matrices, vol.12 (2) (2018), 465-487.
[4] Jibril, A.A.S.., On Operators for which T ∗2(T)2 = (T ∗T)2, international mathematical forum, vol. 5(46) ,2255-2262.
[5] V. Revathi and P. Maheswari Naik., A study on properties of M quasi- class (Q) operator, international Journal of advance research, ideas and innovations in technology, vol. 5 (2).
How to cite this paper
@article{1702858,
author = {Wanjala Victor, Wanjala Wilberforce},
title = {On N Quasi (m, p+k)-power D-Operator Operators},
journal = {Iconic Research And Engineering Journals},
year = {2021},
volume = {5},
number = {3},
pages = {64-65},
issn = {2456-8880},
url = {https://www.irejournals.com/formatedpaper/1702858.pdf},
abstract = {In this paper, we introduce the class of (p+k)-D-Operator acting on the usual Hilbert
space H over the complex plane. An operator T is said to be an (p+k)-D-Operator if
T (T ?2 (T D) 2(p+k)) = N (T ? (TD) p+k) 2T for positive integers p and k and for N which is a bounded operator on H. We investigate the basic behavior of this class of operator.},
keywords = {Normal operators, D-Operator, Almost Class (Q), quasi -class (Q) operators, N quasi
D-operator.},
month = {September},
}