Abhay Jindal

activity

20212026

most citedA dilation theoretic approach to approximation by inner functions

2 citations · 2 across the 11 of their papers we have counts for

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3 papers · 1 filter

math.FA2026

Spectra of $1/ k$ -Contractions via Characteristic Functions

Abhay Jindal, Poornendu Kumar

A unitarily invariant complete Nevanlinna--Pick (CNP) kernel $k$ on the Euclidean ball gives rise to a natural class of operator tuples on Hilbert spaces, known as $1/ k$ -contractio…

math.OA2026

Pure UCP Maps on Finite Toeplitz Systems and Quantum Gromov--Hausdorff Convergence

Ritul Duhan, Abhay Jindal

We study pure unital completely positive maps on the finite Toeplitz operator system $T_{d}$ of $d \times d$ Toeplitz matrices. Our first main result gives an explicit characteriz…

math.FA2026

Operator-Valued Positivstellensätze on Matrix Convex Sets and Free Products of Finite Abelian Groups

Abhay Jindal, Igor Klep, Scott McCullough

We prove a Positivstellensatz for operator-valued noncommutative polynomials that are positive on matrix convex sets. Specifically, let $p$ be an operator-valued polynomial in $B(H…

Spectra of 1/k-Contractions via Characteristic Functions

Pure UCP Maps on Finite Toeplitz Systems and Quantum Gromov--Hausdorff Convergence

Operator-Valued Positivstellensätze on Matrix Convex Sets and Free Products of Finite Abelian Groups

Spectra of $1/ k$ -Contractions via Characteristic Functions