Soumitra Ghara

activity

20182022

collaborators

6 papers

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

The relationship of the Gaussian curvature with the curvature of a Cowen-Douglas operator

Soumitra Ghara, Gadadhar Misra

It has been recently shown that if $K$ is a sesqui-analytic scalar valued non-negative definite kernel on a domain $Ω$ in $C^{m}$ , then the function $\big(K^2\partial_i\bar{\…

math.FA2021

The Cauchy dual subnormality problem via de Branges-Rovnyak spaces

Sameer Chavan, Soumitra Ghara, Md Ramiz Reza

The Cauchy dual subnormality problem (for short, CDSP) asks whether the Cauchy dual of a $2$ -isometry is subnormal. In this paper, we address this problem for cyclic $2$ -isometries…

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…

math.FA2019

Decomposition of the tensor product of two Hilbert modules

Soumitra Ghara, Gadadhar Misra

Given a pair of positive real numbers $α, β$ and a sesqui-analytic function $K$ on a bounded domain $Ω \subset C^{m}$ , in this paper, we investigate the properties of the sesq…

math.FA2018

The orbit of a bounded operator under the Möbius group modulo similarity equivalence