Shubhankar Mandal

collaborators

5 papers

math.FA2025

Functional models for $Γ_{n}$ -contractions

Shubhankar Mandal, Avijit Pal, Bhaskar Paul

This article develops several functional models for a given $Γ_{n}$ -contraction. The first model is motivated by the Douglas functional model for a contraction. We then establish fac…

math.FA2025

Few maps in the rich structure for the domains $G_{E (3; 3; 1, 1, 1)}$ and $G_{E (3; 2; 1, 2)}$

Dinesh Kumar Keshari, Shubhankar Mandal, Avijit Pal

The primary goal of a rich structure for some naturally occurring domains $X$ is to connect four naturally occurring objects of analysis in the context of $3 \times 3$ anal…

math.FA2025

Function Theory and necessary conditions for a Schwarz lemma related to $μ$ -Synthesis Domains

Dinesh Kumar Keshari, Shubhankar Mandal, Avijit Pal

A subset of $C^{7}$ (respectively, of $C^{5}$ ) associated with the structured singular value $μ_{E}$ , defined on $3 \times 3$ matrices, is denoted by $G_{E (3; 3; 1, 1, 1)}$ …

math.FA2025

Unitary equivalence of balanced weighted shifts on rooted directed trees

Shubhankar Mandal, Shailesh Trivedi

We completely characterize non-periodic balanced weighted shifts $S_{\lambdab}$ on rooted directed trees under a very mild assumption that $S_{\lambdab}^{*n}S_{\lambdab}^n|_{\ker S…

math.FA2021

Necessary conditions for existence of $Γ_{n}$ -contractions and examples of $Γ_{3}$ -contractions

Shubhankar Mandal, Avijit Pal

The fundamental result of B. Sz. Nazy states that every contraction has a coisometric extension and a unitary dilation. The isometric dilation of a contraction on a Hilbert space m…

Functional models for Γn​-contractions

Few maps in the rich structure for the domains GE(3;3;1,1,1)​ and GE(3;2;1,2)​

Function Theory and necessary conditions for a Schwarz lemma related to μ-Synthesis Domains

Unitary equivalence of balanced weighted shifts on rooted directed trees

Necessary conditions for existence of Γn​-contractions and examples of Γ3​-contractions

Functional models for $Γ_{n}$ -contractions

Few maps in the rich structure for the domains $G_{E (3; 3; 1, 1, 1)}$ and $G_{E (3; 2; 1, 2)}$

Function Theory and necessary conditions for a Schwarz lemma related to $μ$ -Synthesis Domains

Necessary conditions for existence of $Γ_{n}$ -contractions and examples of $Γ_{3}$ -contractions