Paramita Pramanick

activity

20202026

most citedCartan Isometries and Toeplitz Operators on Cartan domains

1 citations · 2 across the 10 of their papers we have counts for

collaborators

10 papers

math.FA2026

Complete Nevanlinna-Pick property of $K$ -Invariant Reproducing Kernels

Miroslav Engliš, Somnath Hazra, Paramita Pramanick

Let $Ω$ be a Cartan domain and $K = \sum_{s} a_{s} K_{s}$ be a $K$ -invariant kernel on $Ω$ . In this article, we first obtain a necessary cond…

math.FA2025★ 1 cited

Brown-Halmos type characterization for the tetrablock

Shubham Jain, Surjit Kumar, Milan Kumar Mal +1

In this note, we obtain a Brown-Halmos type characterization for Toeplitz operators on the Hardy space associated with the tetrablock. As an application, we show that the zero oper…

math.FA2025★ 1 cited

Cartan Isometries and Toeplitz Operators on Cartan domains

Surjit Kumar, Milan Kumar Mal, Paramita Pramanick

We provide a description of the Shilov boundary of the classical Cartan domain in terms of Jordan triple determinant. As a consequence, we obtained an intrinsic characterization of…

math.FA2025

Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem

Shubham Jain, Surjit Kumar, Milan Kumar Mal +1

We introduce a Schur-Agler type class associated with the tetrablock and establish a realization theorem for this class. Furthermore, we provide a tetrablock analog of the interpol…

math.FA2024

Toeplitz operators on the $n$ -dimensional Hartogs triangle

Shubham Jain, paramita pramanick

We formally introduce and study Toeplitz operators on the Hardy space of the $n$ -dimensional Hartogs triangle. We find a precise relation between these operators and the Toeplitz o…

math.CV2022

Operator theory on generalized Hartogs triangles

Sameer Chavan, Shubham Jain, Paramita Pramanick

We consider the family $P$ of $n$ -tuples $P$ consisting of polynomials $P_{1}, \dots, P_{n}$ with nonnegative coefficients which satisfy $\partial_{i} P_{j} (0) = δ_{i, j},$ $i, j…

math.FA2022

Analyticity, rank one perturbations and the invariance of the left spectrum

Sameer Chavan, Soumitra Ghara, Paramita Pramanick

We address the question of the analyticity of a rank one perturbation of an analytic operator. If $M_{z}$ is the bounded operator of multiplication by $z$ on a functional Hi…

math.FA2022

Commuting Tuple of Multiplication Operators Homogeneous under the Unitary Group

Soumitra Ghara, Surjit Kumar, Gadadhar Misra +1

Let $U (d)$ be the group of $d \times d$ unitary matrices. We find conditions to ensure that a $U (d)$ -homogeneous $d$ -tuple $T$ is unitarily equivalent…

math.FA2021

A trace inequality for commuting tuple of operators

Gadadhar Misra, Paramita Pramanick, Kalyan B. Sinha

For a commuting $d$ - tuple of operators $T$ defined on a complex separable Hilbert space $H$ , let $\big [ \!\!\big [ \boldsymbol T^*, \boldsymbol T \big ]\!\!\…

math.FA2020

$K$ -homogeneous tuple of operators on bounded symmetric domains

Soumitra Ghara, Surjit Kumar, Paramita Pramanick

Let $Ω$ be an irreducible bounded symmetric domain of rank $r$ in $C^{d} .$ Let $K$ be the maximal compact subgroup of the identity component $G$ of the biholomorphic…