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Factoring non-negative operator valued trigonometric polynomials in two variables

Lookup NU author(s): Dr Michael DritschelORCiD

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Abstract

© The Author(s) 2024.It is shown using Schur complement techniques that on dimensional Hilbert spaces, a non-negative operator valued trigonometric polynomial in two variables with degree (d1,d2) can be written as a sum of hermitian squares of at most 2d2 analytic polynomials.

Publication metadata

Author(s): Dritschel MA

Publication type: Article

Publication status: Published

Journal: Mathematische Annalen

Year: 2024

Pages: epub ahead of print

Online publication date: 27/06/2024

Acceptance date: 03/05/2024

Date deposited: 22/07/2024

ISSN (print): 0025-5831

ISSN (electronic): 1432-1807

Publisher: Springer

URL: https://doi.org/10.1007/s00208-024-02895-9

DOI: 10.1007/s00208-024-02895-9

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