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arXiv · 1602.02748

Generalizations of Kaplansky Theorem for some (p,k)-Quasihyponormal Operators

Abdelkader Benali·Ould Ahmed Mahmoud Sid Ahmed
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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.

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Abdelkader Benali, Ould Ahmed Mahmoud Sid Ahmed. 2016-02-08. Generalizations of Kaplansky Theorem for some (p,k)-Quasihyponormal Operators. https://arxiv.org/abs/1602.02748

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