Generalizations of Kaplansky Theorem for some (p,k)-Quasihyponormal Operators
Functional Analysis
2016-02-10 v1
Abstract
In the present paper, we generalized some notions of bounded operators to un- bounded operators on Hilbert space such as k-quasihyponormal and k-paranormal unbounded operators. Furthermore, we extend the Kaplansky theorem for normal operators to some (p; k)-quasihyponormal operators. Namely the (p; k)-quasihyponormality of the product AB and BA for two operators.
Keywords
Cite
@article{arxiv.1602.02748,
title = {Generalizations of Kaplansky Theorem for some (p,k)-Quasihyponormal Operators},
author = {Abdelkader Benali and Ould Ahmed Mahmoud Sid Ahmed},
journal= {arXiv preprint arXiv:1602.02748},
year = {2016}
}