Hankel operators, invariant subspaces, and cyclic vectors in the Drury-Arveson space

DOI10.1090/proc/12922zbMath1359.47007OpenAlexW2192645494MaRDI QIDQ2796727

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Publication date: 29 March 2016

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

Full work available at URL: https://doi.org/10.1090/proc/12922

zbMATH Keywords

invariant subspaceHankel operatorDrury-Arveson space

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Invariant subspaces of linear operators (47A15) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (15)

The Drury-Arveson space on the Siegel upper half-space and a von Neumann type inequality ⋮ A remark on the multipliers on spaces of weak products of functions ⋮ On a class of shift-invariant subspaces of the Drury-Arveson space ⋮ Spectral theory of multiplication operators on Hardy-Sobolev spaces ⋮ Optimal approximants and orthogonal polynomials in several variables ⋮ Factorizations induced by complete Nevanlinna-Pick factors ⋮ Cyclic vectors in Fock-type spaces in multi-variable case ⋮ Cyclicity in the Drury-Arveson space and other weighted Besov spaces ⋮ Fredholm and frame-preserving weighted composition operators ⋮ Multipliers and operator space structure of weak product spaces ⋮ Optimal approximants and orthogonal polynomials in several variables II: Families of polynomials in the unit ball ⋮ A characterization of certain types of Hankel symbols on the Drury-Arveson space ⋮ Paley-Wiener theorems on the Siegel upper half-space ⋮ Weak products of complete Pick spaces ⋮ Free outer functions in complete Pick spaces

Cites Work

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• Weak products of Dirichlet functions
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• Operator Theory and Function Theory in Drury–Arveson Space and Its Quotients
• Harmonic functions of maximal growth: invertibility and cyclicity in Bergman spaces
• The Curious History of Faa di Bruno's Formula
• The curvature invariant of a Hilbert module over ℂ [z1, ..., zd]
• Spaces of Holomorphic Functions in the Unit Ball
• Corrigendum to “Multipliers and essential norm on the Drury-Arveson space”
• Hankel operators and invariant subspaces of the Dirichlet space

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