On the Isomorphism Problem for Multiplier Algebras of Nevanlinna-Pick Spaces

DOI10.4153/CJM-2015-050-6zbMath1481.47111arXiv1505.05108MaRDI QIDQ4637700

Michael Hartz

Publication date: 25 April 2018

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.05108

zbMATH Keywords

reproducing kernel Hilbert spacesisomorphism problemmultiplier algebranon-selfadjoint operator algebrasNevanlinna-Pick kernels

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Abstract operator algebras on Hilbert spaces (47L30) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items (24)

Multiplier tests and subhomogeneity of multiplier algebras ⋮ Von Neumann's inequality for row contractive matrix tuples ⋮ Cyclicity preserving operators on spaces of analytic functions in \(\mathbb{C}^n\) ⋮ Spaces of Dirichlet series with the complete Pick property ⋮ Localizable points in the support of a multiplier ideal and spectra of constrained operators ⋮ Non-commutative measure theory: Henkin and analytic functionals on \(\mathrm{C}^*\)-algebras ⋮ The common range of co-analytic Toeplitz operators on the Drury-Arveson space ⋮ Complete Nevanlinna-Pick kernels and the characteristic function ⋮ A Gleason–Kahane–Żelazko theorem for reproducing kernel Hilbert spaces ⋮ Multiplier algebras of complete Nevanlinna-Pick spaces: dilations, boundary representations and hyperrigidity ⋮ The classification problem for operator algebraic varieties and their multiplier algebras ⋮ Interpolation and duality in algebras of multipliers on the ball ⋮ Co-isometric weighted composition operators on Hilbert spaces of analytic functions ⋮ Isomorphisms of tensor algebras arising from weighted partial systems ⋮ Is the Dirichlet space a quotient of 𝐷𝐴_{𝑛}? ⋮ 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 ⋮ A Beurling–Lax–Halmos theorem for spaces with a complete Nevanlinna–Pick factor ⋮ Gelfand transforms and boundary representations of complete Nevanlinna–Pick quotients ⋮ Committee spaces and the random column-row property ⋮ Analytic functionals for the non-commutative disc algebra ⋮ Singular integral operators with Bergman-Besov kernels on the ball ⋮ Embedding dimension of the Dirichlet space

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