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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2401.12144 |
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| _version_ | 1866913203778224128 |
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| author | Ghara, Soumitra Kumar, Surjit Trivedi, Shailesh |
| author_facet | Ghara, Soumitra Kumar, Surjit Trivedi, Shailesh |
| contents | A complete characterization of the similarity between two operator-valued multishifts with invertible operator weights is obtained purely in terms of operator weights. This generalizes several existing results of the unitary equivalence of two (multi)shifts. Further, we utilize the aforementioned similarity criteria to determine the similarity between two tuples of operators of multiplication by the coordinate functions on certain reproducing kernel Hilbert spaces determined by diagonal kernels. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_12144 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A short note on similarity of operator-valued multishifts Ghara, Soumitra Kumar, Surjit Trivedi, Shailesh Functional Analysis Primary 47A13, 47B37, Secondary 46E40, 47B32 A complete characterization of the similarity between two operator-valued multishifts with invertible operator weights is obtained purely in terms of operator weights. This generalizes several existing results of the unitary equivalence of two (multi)shifts. Further, we utilize the aforementioned similarity criteria to determine the similarity between two tuples of operators of multiplication by the coordinate functions on certain reproducing kernel Hilbert spaces determined by diagonal kernels. |
| title | A short note on similarity of operator-valued multishifts |
| topic | Functional Analysis Primary 47A13, 47B37, Secondary 46E40, 47B32 |
| url | https://arxiv.org/abs/2401.12144 |