Operators associated with the hexablock
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909696629145600 |
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| author | Pal, Sourav Tomar, Nitin |
| author_facet | Pal, Sourav Tomar, Nitin |
| contents | The hexablock is a domain arising from a special case of the $μ$-synthesis problem. We study the commuting operator tuples having the hexablock as a spectral set. Such a tuple is called a hexablock-contraction or simply $\mathbb H$-contraction. We characterize the unitaries and isometries associated with $\mathbb H$-contractions. Two different types of dilation results for $\mathbb H$-contractions are obtained. We find connection of this theory with the operators associated with the symmetrized bidisc and tetrablock, two other domains related to the $μ$-synthesis problem. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2507_14589 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Operators associated with the hexablock Pal, Sourav Tomar, Nitin Functional Analysis Complex Variables Operator Algebras The hexablock is a domain arising from a special case of the $μ$-synthesis problem. We study the commuting operator tuples having the hexablock as a spectral set. Such a tuple is called a hexablock-contraction or simply $\mathbb H$-contraction. We characterize the unitaries and isometries associated with $\mathbb H$-contractions. Two different types of dilation results for $\mathbb H$-contractions are obtained. We find connection of this theory with the operators associated with the symmetrized bidisc and tetrablock, two other domains related to the $μ$-synthesis problem. |
| title | Operators associated with the hexablock |
| topic | Functional Analysis Complex Variables Operator Algebras |
| url | https://arxiv.org/abs/2507.14589 |