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arXiv · 2407.13716

Understanding Christensen-Sinclair factorization via semidefinite programming

Francisco Escudero-Gutiérrez
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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.

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Francisco Escudero-Gutiérrez. 2024-07-18. Understanding Christensen-Sinclair factorization via semidefinite programming. https://arxiv.org/abs/2407.13716

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