D. K. Keshari

collaborators

7 papers

math.FA2026

Rational $Θ_{n}$ -Inner Function and its Application in Interpolation Problem

Dinesh Kumar Keshari, Suryanarayan Nayak, Avijit Pal +1

In this paper, we investigate several geometric and function-theoretic properties of the domain $Θ_{n}$ . We obtain new characterizations of its distinguished boundary and intr…

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

Functional Models for $I^_{E (3; 3; 1, 1, 1)}$ -contraction, $I^_{E (3; 2; 1, 2)}$ -contraction and Tetrablock contraction

Dinesh Kumar Keshari, Suryanarayan Nayak, Avijit Pal +1

We obtain various characterizations of the fundamental operators of $I^_{E (3; 3; 1, 1, 1)}$ -contraction and $I^_{E (3; 2; 1, 2)}$ -contraction. We also demonstrate some important rel…

math.FA2025

Canonical Decompositions and Conditional Dilations of $I^_{E (3; 3; 1, 1, 1)}$ -Contraction and $I^_{E (3; 2; 1, 2)}$ -Contraction

Dinesh Kumar Keshari, Avijit Pal, Bhaskar Paul

A $7$ -tuple of commuting bounded operators $T = (T_{1}, \dots, T_{7})$ defined on a Hilbert space $H$ is said to be a \textit{ $I^_{E (3; 3; 1, 1, 1)}$ -contraction} if…

math.FA2025

Operators on Hilbert Space having $I^_{E (3; 3; 1, 1, 1)}$ and $I^_{E (3; 2; 1, 2)}$ as Spectral Sets

Dinesh Kumar Keshari, Avijit Pal, Bhaskar Paul

A $7$ -tuple of commuting bounded operators $T = (T_{1}, \dots, T_{7})$ on a Hilbert space $H$ is called a \textit{ $I^_{E (3; 3; 1, 1, 1)}$ -contraction} if $Î_{E(3;…

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)}…

Rational Θn​-Inner Function and its Application in Interpolation Problem

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

Functional Models for I^E(3;3;1,1,1)​-contraction, I^E(3;2;1,2)​-contraction and Tetrablock contraction

Canonical Decompositions and Conditional Dilations of I^E(3;3;1,1,1)​-Contraction and I^E(3;2;1,2)​-Contraction

Operators on Hilbert Space having I^E(3;3;1,1,1)​ and I^E(3;2;1,2)​ as Spectral Sets

Function Theory and necessary conditions for a Schwarz lemma related to I^¼-Synthesis Domains

Rational $Θ_{n}$ -Inner Function and its Application in Interpolation Problem

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

Functional Models for $I^_{E (3; 3; 1, 1, 1)}$ -contraction, $I^_{E (3; 2; 1, 2)}$ -contraction and Tetrablock contraction

Canonical Decompositions and Conditional Dilations of $I^_{E (3; 3; 1, 1, 1)}$ -Contraction and $I^_{E (3; 2; 1, 2)}$ -Contraction

Operators on Hilbert Space having $I^_{E (3; 3; 1, 1, 1)}$ and $I^_{E (3; 2; 1, 2)}$ as Spectral Sets

Function Theory and necessary conditions for a Schwarz lemma related to $I^¼$ -Synthesis Domains