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Topologizability and Power Boundedness of Convolutions and Toeplitz Operators on Power Series Spaces (2507.00897v1)
Published 1 Jul 2025 in math.FA and math.CV
Abstract: We completely 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 $H(\mathbb{D})$.