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

Showing 2022Show all

3 papers · 1 filter

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…