Year: 2025
Type: preprint
Abstract: 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.
Source: arXiv (Cornell University)
Authors: Pal, Sourav, Tomar, Nitin
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G5669994533, G9000924005
OpenAlex ID: W4417429690
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