D. K. Keshari

activity

20122026

most citedInfinitely divisible metrics and curvature inequalities for operators in the Cowen-Douglas class

18 citations · 20 across the 15 of their papers we have counts for

collaborators

15 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 $Γ_{E (3; 3; 1, 1, 1)}$ -contraction, $Γ_{E (3; 2; 1, 2)}$ -contraction and Tetrablock contraction

Dinesh Kumar Keshari, Suryanarayan Nayak, Avijit Pal +1

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

math.FA2025

Canonical Decompositions and Conditional Dilations of $Γ_{E (3; 3; 1, 1, 1)}$ -Contraction and $Γ_{E (3; 2; 1, 2)}$ -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{ $Γ_{E (3; 3; 1, 1, 1)}$ -contraction} if…

math.FA2025

Operators on Hilbert Space having $Γ_{E (3; 3; 1, 1, 1)}$ and $Γ_{E (3; 2; 1, 2)}$ 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{ $Γ_{E (3; 3; 1, 1, 1)}$ -contraction} if $Γ_{E(3; 3;…

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

Homogeneous analytic Hilbert modules -- the case of non-transitive action

Shibananda Biswas, Prahllad Deb, Somnath Hazra +2

This work investigates analytic Hilbert modules $H$ , over the polynomial ring, consisting of holomorphic functions on a $G$ -space $Ω \subset C^{m}$ that are homogen…

math.FA2020

On the similarity of restriction of the operator to an invariant subspace

Kui Ji, Shanshan Ji, Dinesh Kumar Keshari +1

Let $M_{z}$ be the multiplication operator on the Bergman space and $M_{I}$ denote the restriction of $M_{z}$ to an invariant subspace $I$ . A question raised by K. Zhu is that when…

math.FA2019

Geometric Similarity invariants of Cowen-Douglas Operators

Chunlan Jiang, Kui Ji, Dinesh Kumar Keshari

In 1978, M. J. Cowen and R.G. Douglas introduce a class of operators (known as Cowen-Douglas class of operators) and associates a Hermitian holomorphic vector bundle to such an ope…

math.FA2015★ 1 cited

Dilations, Wandering Subspaces, and Inner Functions

M. Bhattacharjee, J. Eschmeier, Dinesh K. Keshari +1

The objective of this paper is to study wandering subspaces for commuting tuples of bounded operators on Hilbert spaces. It is shown that, for a large class of analytic functional…

math.FA2014

Generalized Bundle Shift with Application to Multiplication operator on the Bergman space

Ronald G. Douglas, Dinesh Kumar Keshari, Anjian Xu

Following upon results of Putinar, Sun, Wang, Zheng and the first author, we provide models for the restrictions of the multiplication by a finite Balschke product on the Bergman s…

math.FA2014★ 1 cited

Rigidity of the flag structure for a class of Cowen-Douglas operators

Kui Ji, Chunlan Jiang, Dinesh Kumar Keshari +1

The explicit description of irreducible homogeneous operators in the Cowen-Douglas class and the localization of Hilbert modules naturally leads to the definition of a smaller clas…

math.FA2014

Flag structure for operators in the Cowen-Douglas class

Kui Ji, Chunlan Jiang, Dinesh Kumar Keshari +1

The explicit description of homogeneous operators and localization of a Hilbert module naturally leads to the definition of a class of Cowen-Douglas operators possessing a flag str…

math.FA2013

Trace formulae for curvature of Jet Bundles over planar domain

Dinesh Kumar Keshari

For a domain Ωin \mathbb{C} and an operator T in \mathcal{B}_n(Ω), Cowen and Douglas construct a Hermitian holomorphic vector bundle E_T over Ωcorresponding to T. The Hermitian hol…

math.FA2012★ 18 cited

Infinitely divisible metrics and curvature inequalities for operators in the Cowen-Douglas class

Shibananda Biswas, Dinesh Kumar Keshari, Gadadhar Misra

The curvature $K_{T} (w)$ of a contraction $T$ in the Cowen-Douglas class $B_{1} (D)$ is bounded above by the curvature $K_{S^{*}} (w)$ of the backward shift opera…

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 ΓE(3;3;1,1,1)​-contraction, ΓE(3;2;1,2)​-contraction and Tetrablock contraction

Canonical Decompositions and Conditional Dilations of ΓE(3;3;1,1,1)​-Contraction and ΓE(3;2;1,2)​-Contraction

Operators on Hilbert Space having ΓE(3;3;1,1,1)​ and ΓE(3;2;1,2)​ as Spectral Sets

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

Homogeneous analytic Hilbert modules -- the case of non-transitive action

On the similarity of restriction of the operator to an invariant subspace

Geometric Similarity invariants of Cowen-Douglas Operators

Dilations, Wandering Subspaces, and Inner Functions

Generalized Bundle Shift with Application to Multiplication operator on the Bergman space

Rigidity of the flag structure for a class of Cowen-Douglas operators

Flag structure for operators in the Cowen-Douglas class

Trace formulae for curvature of Jet Bundles over planar domain

Infinitely divisible metrics and curvature inequalities for operators in the Cowen-Douglas class

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 $Γ_{E (3; 3; 1, 1, 1)}$ -contraction, $Γ_{E (3; 2; 1, 2)}$ -contraction and Tetrablock contraction

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

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

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