On a class of shift-invariant subspaces of the Drury-Arveson space

DOI10.1515/conop-2018-0001zbMath1401.46019arXiv1703.04422OpenAlexW2766076444MaRDI QIDQ1635348

Matteo Levi, Nicola Arcozzi

Publication date: 6 June 2018

Published in: Concrete Operators (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.04422

zbMATH Keywords

invariant subspacesreproducing kernelHankel operatorsDrury-Arveson spacevon Neumann's inequality

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Functional calculus for linear operators (47A60) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Invariant subspaces of linear operators (47A15) Dilations, extensions, compressions of linear operators (47A20) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Related Items (2)

The Drury-Arveson space on the Siegel upper half-space and a von Neumann type inequality ⋮ Harmonic analysis of network systems via kernels and their boundary realizations

Cites Work

• Subalgebras of \(C^*\)-algebras. III: Multivariable operator theory
• Hankel operators, invariant subspaces, and cyclic vectors in the Drury-Arveson space
• Operator Theory and Function Theory in Drury–Arveson Space and Its Quotients
• A Generalization of Von Neumann's Inequality to the Complex Ball
• Generalized Interpolation in H ∞
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