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A Constructive Proof of NC Fejér-Riesz Theorem

2022/07/05 by Palak Arora, Arora, Palak
Mathematics · #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Mathematical Inequalities and Applications

paper · pdf · doi:10.48550/arxiv.2207.02174

openalex publication_date 2022/07/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we present a constructive proof of Popescu's non-commutative Fejér-Riesz theorem for non-commuting polynomials. We are considering non-commutating polynomial in left-creation and left-annihilation multi-Toeplitz operators.

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