Algebras of noncommutative functions on subvarieties of the noncommutative ball: the bounded and completely bounded isomorphism problem

DOI10.1016/j.jfa.2019.108427zbMath1443.46040arXiv1806.00410OpenAlexW2994814044WikidataQ126565657 ScholiaQ126565657MaRDI QIDQ2286490

Orr Moshe Shalit, Guy Salomon, Eli Shamovich

Publication date: 22 January 2020

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.00410

zbMATH Keywords

operator algebrasnoncommutative functionsnoncommutative varietiesnoncommutative analysisnoncommutative analytic geometry

Mathematics Subject Classification ID

Operator spaces and completely bounded maps (46L07) Operator spaces (= matricially normed spaces) (47L25) Noncommutative function spaces (46L52) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Related Items (14)

Operator theory on noncommutative polydomains. I. ⋮ Von Neumann's inequality for row contractive matrix tuples ⋮ Representations of \(C^*\)-algebras associated with noncommutative polyvarieties ⋮ Operator noncommutative functions ⋮ Noncommutative rational Clark measures ⋮ Operator theory on noncommutative varieties in polydomains ⋮ An optimal approximation problem for free polynomials ⋮ Sub-Hardy-Hilbert spaces in the non-commutative unit row ball ⋮ Rational Cuntz states peak on the free disk algebra ⋮ Bergman spaces over noncommutative domains and commutant lifting ⋮ Dilation theory: a guided tour ⋮ Blaschke-singular-outer factorization of free non-commutative functions ⋮ Distance between reproducing kernel Hilbert spaces and geometry of finite sets in the unit ball ⋮ Non-commutative rational functions in the full Fock space

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