Aleksandrov-Clark theory for Drury-Arveson space

DOI10.1007/s00020-018-2470-6zbMath1459.46036arXiv1608.04325OpenAlexW2963687197MaRDI QIDQ1790645

R. T. W. Martin, Michael T. Jury

Publication date: 2 October 2018

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.04325

zbMATH Keywords

Hardy spacemultiplier algebraDrury-Arveson spaceAleksandrov-Clark measuresmodel subspacesnon-commutative disk algebraDebranges-Rovnyak spaces

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items

Multivariable Beurling–Lax representations: the commutative and free noncommutative settings, Extremal multipliers of the Drury–Arveson space, Multivariable versions of a lemma of Kaluza's, Column extreme multipliers of the Free Hardy Space, Non-commutative Clark measures for the free and abelian Toeplitz algebras, A de Branges-Beurling theorem for the full Fock space, Operators affiliated to the Free shift on the Free Hardy Space

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