Putnam-Fuglede type theorem for class $ \mathcal{A}_k $ operators

We will call $U\in B(X)$ as an operator of class $\mathcal{A}_k$ if for some integer $k$, the following inequality is satisfied: $$\vert U^{k+1}\vert^{\frac{2}{k+1}}\geq \vert U\vert^{2}.$$ In the present article, some basic spectral properties of this class are given, also the asymmetric Putnam-...

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Bibliographic Details

Published in:	AIMS Mathematics
Main Authors:	Ahmed Bachir, Nawal Ali Sayyaf, Khursheed J. Ansari, Khalid Ouarghi
Format:	Article
Language:	English
Published:	AIMS Press 2021-02-01
Subjects:	putnam-fuglede theorem hyponormal operator class $\mathcal{a}_k$ operator
Online Access:	http://www.aimspress.com/article/doi/10.3934/math.2021241?viewType=HTML