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Relaxed commutant lifting: existence of a unique solution

2008/08/18 by S. ter Horst, ter Horst, S.
Mathematics · #47A20 #47A56 #47A57 #Advanced Operator Algebra Research #FOS: Mathematics #Functional Analysis (math.FA) #Geometric and Algebraic Topology #Holomorphic and Operator Theory #math.FA #msc:47A20 #msc:47A56 #msc:47A57

paper · pdf · doi:10.48550/arxiv.0808.2479

10 pages

arxiv created 2008/08/18 · openalex publication_date 2008/08/18 · arxiv updated 2009/12/01 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

In this paper we present necessary and sufficient conditions for the existence of a unique solution to the relaxed commutant lifting problem. The obtained conditions are more complicated than those for the classical commutant lifting setting, and earlier obtained sufficient conditions turn out not to be necessary conditions. It is also shown that these conditions simplify in certain special cases.

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