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On POSI-Class (Q) Operators
Subject area: Science,Engineering and Technology · Area of research: Mathematics and Computing
Abstract
In this paper, we introduce the class of Posi-Class (Q) operator acting on a complex Hilbert space H to H. An operator T ? L(H) is said to be Posi-Class (Q) if T *2P T 2 = (T*T )2 for a positive operator P ? L(H) . We look at some nice properties that are associated with this class.
Keywords
Class (Q), Almost-Class (Q) operators , Posi-Class (Q) and Posinormal operators.
References
[1] Adnan A.S .Jibril.,On operators for which T 2T 2 = (T T )2.International Mathematical Forum , vol 5 ( 46) (2010) , 2255-2262.
[2] H.Crawford Rhaly ., posinormal operators ,J.Math . Soc. Japan , vol. 46 (4) (1994) , 587-605.
[3] Wanjala Victor and Beatrice Adhiambo Obiero ., On Almost class (Q) and class (M,n) Operators ,International Journal of mathematics and its applications , vol. 9 (2) (2021) , 115-118.
How to cite this paper
@article{1703341,
author = {Wanjala Victor, A.M. Nyongesa},
title = {On POSI-Class (Q) Operators},
journal = {Iconic Research And Engineering Journals},
year = {2022},
volume = {5},
number = {10},
pages = {75-76},
issn = {2456-8880},
url = {https://www.irejournals.com/formatedpaper/1703341.pdf},
abstract = {In this paper, we introduce the class of Posi-Class (Q) operator acting on a complex Hilbert space H to H. An operator T ? L(H) is said to be Posi-Class (Q) if T *2P T 2 = (T*T )2 for a positive operator P ? L(H) . We look at some nice properties that are associated with this class.},
keywords = {Class (Q), Almost-Class (Q) operators , Posi-Class (Q) and Posinormal operators.},
month = {April},
}