Shubhankar Mandal

collaborators

4 papers

math.FA2025

Functional models for $I^_{n}$ -contractions

Shubhankar Mandal, Avijit Pal, Bhaskar Paul

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

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 $I^¼$ -Synthesis Domains

Dinesh Kumar Keshari, Shubhankar Mandal, Avijit Pal

A subset of $C^{7}$ (respectively, of $C^{5}$ ) associated with the structured singular value $I^¼_{E}$ , 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…

Functional models for I^n​-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 I^¼-Synthesis Domains

Unitary equivalence of balanced weighted shifts on rooted directed trees

Functional models for $I^_{n}$ -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 $I^¼$ -Synthesis Domains