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 2022Show all

8 papers · 1 filter

math.FA2022

Theory of q-commuting contractions : joint reducing subspaces and orthogonal decompositions

Sourav Pal, Prajakta Sahasrabuddhe, Nitin Tomar

In the literature, we have several results associated with canonical decomposition of commuting contractions. In this paper, we generalize a few of these results to $Q$ -commuting c…

math.FA2022

Lifting $Q$ -commuting and $Q$ -intertwining operators

Sourav Pal, Prajakta Sahasrabuddhe

There are several proofs of the classical commutant lifting and intertwining lifting theorems in the literature. In this article, we present analogous proofs to a few $Q$ -commuting…

math.FA2022★ 1 cited

Characterizations and models for the $C_{1, r}$ class and quantum annulus

Sourav Pal, Nitin Tomar

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

math.FA2022

Triangular Tetrablock-contractions, factorization of contractions, dilation and subvarieties

Sourav Pal

A commuting triple of Hilbert space operators $(A, B, P)$ , for which the closed tetrablock $E ˉ$ is a spectral set, is called a \textit{tetrablock-contraction} or simply…

math.FA2022

Minimal unitary dilations for commuting contractions

Sourav Pal, Prajakta Sahasrabuddhe

For commuting contractions $T_{1}, \dots, T_{n}$ acting on a Hilbert space $H$ with $T = \prod_{i = 1}^{n} T_{i}$ , we show that $(T_{1}, \dots, T_{n})$ dilates to commuting isometries $(V_…

math.AG2022

Distinguished varieties in the polydisc and dilation of commuting contractions

Sourav Pal

A distinguished variety in the polydisc $D^{n}$ is an affine complex algebraic variety that intersects $D^{n}$ and exits the domain through the $n$ -torus $T^{n}$ …

math.FA2022

The toral contractions and $Γ$ -distinguished $Γ$ -contractions

Sourav Pal, Nitin Tomar

A pair of commuting Hilbert space contractions $(T_{1}, T_{2})$ is said to be toral if there is a polynomial $p \in C [z_{1}, z_{2}]$ such that its zero set $Z (p)$ defines a distingui…

math.FA2022

Common reducing subspaces and decompositions of contractions

Sourav Pal

A commuting triple of Hilbert space operators $(A, B, P)$ , for which the closed tetrablock $E$ is a spectral set, is called a \textit{tetrablock-contraction} or si…

Theory of q-commuting contractions : joint reducing subspaces and orthogonal decompositions

Lifting Q-commuting and Q-intertwining operators

Characterizations and models for the C1,r​ class and quantum annulus

Triangular Tetrablock-contractions, factorization of contractions, dilation and subvarieties

Minimal unitary dilations for commuting contractions

Distinguished varieties in the polydisc and dilation of commuting contractions

The toral contractions and Γ-distinguished Γ-contractions

Common reducing subspaces and decompositions of contractions

Lifting $Q$ -commuting and $Q$ -intertwining operators

Characterizations and models for the $C_{1, r}$ class and quantum annulus

The toral contractions and $Γ$ -distinguished $Γ$ -contractions