N. Tomar

activity

20222026

most citedCharacterizations and models for the

C_{1, r}

class and quantum annulus

1 citations · 1 across the 21 of their papers we have counts for

collaborators

Showing 2025 · math.FAShow all

4 papers · 2 filters

math.FA2025

Constrained dilation and $Γ$ -contractions

Sourav Pal, Nitin Tomar

A commuting pair of Hilbert space operators having the closed symmetrized bidisc \[ Γ=\{(z_1+z_2, z_1z_2) \in \mathbb C^2 \ : \ |z_1| \leq 1, |z_2| \leq 1\} \] as a spectral set is…

math.FA2025

Operators associated with a domain in $C^{4}$ and applications

Sourav Pal, Nitin Tomar

The hexablock is a domain arising from a special case of the $μ$ -synthesis problem. We study the commuting operator tuples having the hexablock as a spectral set. Such a tuple is c…

math.FA2025

Dilation on an annulus and von Neumann's inequality on certain varieties in the biball

Sourav Pal, Nitin Tomar

We give an alternative proof to Agler's famous result on success of rational dilation on an annulus by an application of a result due to Dritschel and McCullough. We show interplay…

math.FA2025

On doubly commuting operators in $C_{1, r}$ class and quantum annulus

Nitin Tomar

For $0 < r < 1$ , let $A_{r} = {z \in C : r < ∣ z ∣ < 1}$ be the annulus with boundary $\partial A_{r} = T \cup r T$ , wher…

Constrained dilation and Γ-contractions

Operators associated with a domain in C4 and applications

Dilation on an annulus and von Neumann's inequality on certain varieties in the biball

On doubly commuting operators in C1,r​ class and quantum annulus

Constrained dilation and $Γ$ -contractions

Operators associated with a domain in $C^{4}$ and applications

On doubly commuting operators in $C_{1, r}$ class and quantum annulus