English

A Constructive Proof of NC Fej\'er-Riesz Theorem

Functional Analysis 2022-07-06 v1

Abstract

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

Cite

@article{arxiv.2207.02174,
  title  = {A Constructive Proof of NC Fej\'er-Riesz Theorem},
  author = {Palak Arora},
  journal= {arXiv preprint arXiv:2207.02174},
  year   = {2022}
}

Comments

9 pages, no figures

R2 v1 2026-06-24T12:14:46.954Z