Paramita Pramanick

activity

20202022

collaborators

4 papers

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.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…

Operator theory on generalized Hartogs triangles

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

A trace inequality for commuting tuple of operators

K-homogeneous tuple of operators on bounded symmetric domains

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