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arXiv · 2507.00897

Topologizability and Power Boundedness of Convolutions and Toeplitz Operators on Power Series Spaces

Nazlı Doğan
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Abstract

We characterize the topologizability and power boundedness of convolution and dual convolution operators on power series spaces. We determine necessary conditions for a Toeplitz operator to be m-topologizable, and power bounded on $\Lambda_{1}(n)$ and $\Lambda_{\infty}(n)$, and consequently on $H(\mathbb{C})$ and $H(\mathbb{D})$.

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Nazlı Doğan. 2025-07-01. Topologizability and Power Boundedness of Convolutions and Toeplitz Operators on Power Series Spaces. https://arxiv.org/abs/2507.00897

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