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arXiv · 2503.21930

Boundedness, compactness and Schatten class for Rhaly matrices

Carlo Bellavita·Eugenio Dellepiane·Georgios Stylogiannis
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Abstract

In this article we present new proofs for the boundedness and the compactness on $\ell^2$ of the Rhaly matrices, also known as terraced matrices. We completely characterize when such matrices belong to the Schatten class $\mathcal{S}^q(\ell^2)$, for $1<q<\infty$. Finally, we apply our results to study the Hadamard multipliers in weighted Dirichlet spaces, answering a question left open by Mashreghi-Ransford.

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Carlo Bellavita, Eugenio Dellepiane, Georgios Stylogiannis. 2025-03-27. Boundedness, compactness and Schatten class for Rhaly matrices. https://arxiv.org/abs/2503.21930

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