Understanding Christensen-Sinclair factorization via semidefinite programming

Autor:	Escudero-Gutiérrez, Francisco
Rok vydání:	2024
Předmět:	Mathematics - Operator Algebras Mathematics - Functional Analysis Mathematics - Optimization and Control
Druh dokumentu:	Working Paper
Popis:	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. Comment: 13 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2407.13716 Zobrazit plný text záznamu View this record from Arxiv