Noncommutative Berezin transforms and model theory

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dc.creatorPopescu, Gelu
dc.date2007-04-25
dc.date.accessioned2026-07-07T07:58:13Z
dc.date.available2026-07-07T07:58:13Z
dc.descriptionWe initiate the study of a class of noncommutative domains of n-tuples of bounded linear operators on a Hilbert space, which is generated by certain positivity conditions on polynomials in n noncommutative indeterminates. We obtain Fatou type results, functional calculi, and a model theory for n-tuples of operators in these domains. The main role in this study is played by a class of noncommutative Berezin transforms which is introduced in this paper. Our results extend to noncommutative varieties.
dc.description41 pages
dc.identifierhttps://arxiv.org/abs/0704.3387
dc.identifierhttp://arxiv.org/abs/0704.3387
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127929
dc.subjectFunctional Analysis
dc.subjectOperator Algebras
dc.subject47A20; 47A56; 47A13; 47A63
dc.titleNoncommutative Berezin transforms and model theory
dc.typetext

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