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-...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2021-02-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | http://www.aimspress.com/article/doi/10.3934/math.2021241?viewType=HTML |