Aparna Gupta

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math.FA2026

Dilation and Functional Models for Pure $Θ_{n}$ -Contractions and the von Neumann Inequality on Distinguished Varieties in $Θ_{n}$

Aparna Gupta, Shubhankar Mandal Avijit Pal, Bhaskar Paul

In this paper, we introduce the notion of a distinguished variety in the domain $Θ_{n}$ . One of the main results of the paper is a determinantal representation for every disti…

math.FA2026

On the Dilation Theory and Canonical Decomposition of $Θ_{n}$ -Contractions

Aparna Gupta, Avijit Pal, Bhaskar Paul

This paper studies the domain $Θ_{n}$ from the perspective of operator theory. We obtain several characterizations of $Θ_{n}$ -contractions (respectively, $Θ_{n}$ -uni…

Dilation and Functional Models for Pure Θn​-Contractions and the von Neumann Inequality on Distinguished Varieties in Θn​

On the Dilation Theory and Canonical Decomposition of Θn​-Contractions

Dilation and Functional Models for Pure $Θ_{n}$ -Contractions and the von Neumann Inequality on Distinguished Varieties in $Θ_{n}$

On the Dilation Theory and Canonical Decomposition of $Θ_{n}$ -Contractions