Arindam Sutradhar

collaborators

3 papers

math.RA2026

Commutators of finite multiplicative order

Arijit Mukherjee, Gobinda Sau, Arindam Sutradhar

This article studies the equation $[A,B]^k = \Id_n$ for matrices over $\CC$,characterizing the pairs $(k, n)$ for which solutions exist via a classical result of Lam and Leung on su…

math.OA2025

$C^{}$ -extreme points of unital completely positive maps on real $C^{}$ -algebras

Anand O. R, K. Sumesh, Arindam Sutradhar

In this paper, we investigate the general properties and structure of $C^{*}$ -extreme points within the $C^{*}$ -convex set $UCP (A, B (H))$ of all unital comp…

math.OC2025

Gram-like matrix preserving extensions and completions of noncommutative polynomials

Arijit Mukherjee, Arindam Sutradhar

Given a positive noncommutative polynomial $f$ , equivalently a sum of Hermitian squares (SOHS), there exists a positive semidefinite Gram matrix that encrypts all the structural es…

Commutators of finite multiplicative order

C∗-extreme points of unital completely positive maps on real C∗-algebras

Gram-like matrix preserving extensions and completions of noncommutative polynomials

$C^{}$ -extreme points of unital completely positive maps on real $C^{}$ -algebras