Work

Christensen-Sinclair factorization via semidefinite programming

Year: 2025

Type: article

Abstract: We show that the Christensen-Sinclair factorization theorem, when the underlying Hilbert spaces are finite dimensional, is an instance of strong duality of semidefinite programming. This gives an elementary proof of the result and also provides an efficient algorithm to compute the Christensen-Sinclair factorization.

Source: Linear Algebra and its Applications

DOI: 10.1016/j.laa.2025.03.007

Author: Francisco Escudero-Gutiérrez

Institutions: Centrum Wiskunde & Informatica, QuSoft

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,230

Funders: Nederlandse Organisatie voor Wetenschappelijk Onderzoek, Horizon 2020, H2020 Marie Skłodowska-Curie Actions, HORIZON EUROPE Marie Sklodowska-Curie Actions