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arXiv · 2508.04311

On a class of lambda-hyponormal operators

Y. Estaremi·M. S. Al Ghafri·and S. Shamsigamchi
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Abstract

In this paper we define $\lambda$-hyponormal operators on an infinite dimensional Hilbert space $\mathcal{H}$ and find a class of $\lambda$-hyponormal operators that can not be hypercyclic. Also, we study closedness of range and $\lambda$-hyponormality of weighted composition operators on the Hilbert space $\mathcal{H}=L^2(\mu)$. Moreover, we apply the hypercyclicity results to $\lambda$-hyponormal weighted composition operators. Finally, we provide some examples to illustrate our main results.

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Y. Estaremi, M. S. Al Ghafri, and S. Shamsigamchi. 2025-08-06. On a class of lambda-hyponormal operators. https://arxiv.org/abs/2508.04311

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