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On the Dilation Theory and Canonical Decomposition of $\mathbfΘ_n$-Contractions
This paper investigates the domain $\mathbfΘ_n$ from an operator-theoretic perspective. We establish several characterizations of $\mathbfΘ_n$-contractions, $\mathbfΘ_n$-unitaries, and $\mathbfΘ_n$-isometries, and explore their connections with $Γ_n$- and tetrablock operator tuples, as well as with
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