Brerezin kernels and Wold decompositions associated with noncommutative polydomains

DOI10.1090/PROC/15170zbMath1465.46063OpenAlexW3025823775MaRDI QIDQ5119240

Gelu Popescu

Publication date: 3 September 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/15170

zbMATH Keywords

modelsrepresentationsWold decompositionBerezin kernelmultivariable operator theoryC*-algebrasnoncommutative polydomain

Mathematics Subject Classification ID

Representations of topological algebras with involution (46K10) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) General theory of (C^*)-algebras (46L05) Structure theory of linear operators (47A65) Noncommutative function spaces (46L52) Canonical models for contractions and nonselfadjoint linear operators (47A45) Decomposition theory for (C^*)-algebras (46L45)

Related Items (2)

Representations of \(C^*\)-algebras associated with noncommutative polyvarieties ⋮ Submodules in polydomains and noncommutative varieties

Cites Work

• Simple \(C^*\)-algebras generated by isometries
• Poisson transforms on some \(C^*\)-algebras generated by isometries
• Noncommutative Berezin transforms and multivariable operator model theory
• Harmonic analysis of operators on Hilbert space
• Berezin transforms on noncommutative polydomains
• Isometric Dilations for Infinite Sequences of Noncommuting Operators
• Operator theory on noncommutative domains
• Regular dilations and models for multicontractions
• Standard operator models in the polydisc, II
• The 𝐶*-algebra generated by an isometry
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