The Isomorphism Problem for Complete Pick Algebras: A Survey

DOI10.1007/978-3-319-31383-2_9zbMath1376.46021arXiv1412.7817OpenAlexW1900757005MaRDI QIDQ5273437

Orr Moshe Shalit, Guy Salomon

Publication date: 6 July 2017

Published in: Operator Theory, Function Spaces, and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.7817

zbMATH Keywords

reproducing kernel Hilbert spacesmultiplier algebrascomplete Pick spacesnonself-adjoint operator algebras

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Abstract operator algebras on Hilbert spaces (47L30) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items (9)

Spaces of Dirichlet series with the complete Pick property ⋮ The classification problem for operator algebraic varieties and their multiplier algebras ⋮ Complex hyperbolic geometry and Hilbert spaces with complete Pick kernels ⋮ On fixed points of self maps of the free ball ⋮ Distance between reproducing kernel Hilbert spaces and geometry of finite sets in the unit ball ⋮ Three classification results in the theory of weighted Hardy spaces on the ball ⋮ Algebras of bounded noncommutative analytic functions on subvarieties of the noncommutative unit ball ⋮ Algebras of noncommutative functions on subvarieties of the noncommutative ball: the bounded and completely bounded isomorphism problem ⋮ Embedding dimension of the Dirichlet space

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