Free pluriharmonic majorants and noncommutative interpolation

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dc.creatorPopescu, Gelu
dc.date2007-12-17
dc.date.accessioned2026-07-07T08:49:41Z
dc.date.available2026-07-07T08:49:41Z
dc.descriptionIn 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 $H^2_{\bf ball}$ in terms of free pluriharmonic majorants, and to a Schur type description of the unit ball of $H^2_{\bf ball}$. These results are used to solve a multivariable commutant lifting problem and provide a description of all solutions.
dc.description35 pages
dc.identifierhttps://arxiv.org/abs/0712.2742
dc.identifierhttp://arxiv.org/abs/0712.2742
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144392
dc.subjectFunctional Analysis
dc.subjectOperator Algebras
dc.subject47A57; 47A20; 47A56; 46L52
dc.titleFree pluriharmonic majorants and noncommutative interpolation
dc.typetext

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