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

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Showing 2025Show all

6 papers · 1 filter

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…

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

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