Boundedness, compactness and Schatten class for Rhaly matrices
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866912557245136896 |
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| author | Bellavita, Carlo Dellepiane, Eugenio Stylogiannis, Georgios |
| author_facet | Bellavita, Carlo Dellepiane, Eugenio Stylogiannis, Georgios |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2503_21930 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Boundedness, compactness and Schatten class for Rhaly matrices Bellavita, Carlo Dellepiane, Eugenio Stylogiannis, Georgios Functional Analysis Complex Variables Operator Algebras Primary 47B10, Secondary 30H25, 30H99 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. |
| title | Boundedness, compactness and Schatten class for Rhaly matrices |
| topic | Functional Analysis Complex Variables Operator Algebras Primary 47B10, Secondary 30H25, 30H99 |
| url | https://arxiv.org/abs/2503.21930 |