2007/12/17 by Gelu Popescu, Popescu, Gelu
Mathematics · #46L52 #47A20 #47A56 #47A57 #Advanced Algebra and Geometry #Advanced Operator Algebra Research #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Operator Algebras (math.OA) #math.FA #math.OA #msc:46L52 #msc:47A20 #msc:47A56 #msc:47A57
paper · pdf · doi:10.48550/arxiv.0712.2742
35 pages
arxiv created 2007/12/17 · openalex publication_date 2007/12/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we initiate the study of sub-pluriharmonic curves in Cuntz-Toeplitz algebras and free pluriharmonic majorants on noncommutative balls. We are lead to a characterization of the noncommutative Hardy space H2\bf ball in terms of free pluriharmonic majorants, and to a Schur type description of the unit ball of H2\bf ball. These results are used to solve a multivariable commutant lifting problem and provide a description of all solutions.