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On (N+K)- power- D-Operator
Subject area: Science,Engineering and Technology · Area of research: Mathematics
Abstract
In this paper, we introduce the class of (n+k, mBQ) operators acting on a complex Hilbert space H. An operator if T ? B(H) is said to belong to class (n+k, mBQ) if T ?2mT 2(n+k) commutes with (T ?mTn+k)2 equivalently [T ?2mT 2(n+k), (T ?mTn+k )2] = 0, for a positive integers n and m. We investigate algebraic properties that this class enjoys. have. We analyze the relation of this class to (n+k, m)-power class (Q) operators.
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-quasinormal 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 intechnology, vol. 5 (2).
[6] Wanjala Victor and A.M. Nyongesa., On N Quasi D-operator operators, international journal of mathematics and its applications, vol. 9(2) (2021), 245-248.
How to cite this paper
@article{1702856,
author = {Wanjala Victor, A. M. Nyongesa},
title = {On (N+K)- power- D-Operator},
journal = {Iconic Research And Engineering Journals},
year = {2021},
volume = {5},
number = {3},
pages = {165-167},
issn = {2456-8880},
url = {https://www.irejournals.com/formatedpaper/1702856.pdf},
abstract = {In this paper, we introduce the class of (n+k, mBQ) operators acting on a complex Hilbert space
H. An operator if T ? B(H) is said to belong to class (n+k, mBQ) if T ?2mT 2(n+k) commutes with (T ?mTn+k)2 equivalently [T ?2mT 2(n+k), (T ?mTn+k )2] = 0, for a positive integers n and m. We investigate algebraic properties that this class enjoys.
have. We analyze the relation of this class to (n+k, m)-power class (Q) operators.},
keywords = {Normal operators, D-Operator, Almost Class (Q), quasi -class (Q) operators, N quasi
D-operator.},
month = {September},
}