Sourav Pal

activity

20172026

most citedCharacterizations and models for the

C_{1, r}

class and quantum annulus

1 citations · 2 across the 23 of their papers we have counts for

collaborators

Showing 2025Show all

4 papers · 1 filter

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.CV2025

The Hexablock: a domain associated with the $μ$ -synthesis in $M_{2} (C)$

Indranil Biswas, Sourav Pal, Nitin Tomar

We introduce a domain named \textit{hexablock} in $C^{4}$ and show that its origin is a special case of $μ$ -synthesis in $M_{2} (C)$ , more precisely the $μ_{E}$ -unit ball…

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…

Constrained dilation and Γ-contractions

Operators associated with a domain in C4 and applications

The Hexablock: a domain associated with the μ-synthesis in M2​(C)

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

Constrained dilation and $Γ$ -contractions

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

The Hexablock: a domain associated with the $μ$ -synthesis in $M_{2} (C)$