Clark theory in the Drury-Arveson space

DOI10.1016/j.jfa.2013.11.018zbMath1298.47012arXiv1308.5887OpenAlexW2963174987MaRDI QIDQ2444478

Michael T. Jury

Publication date: 9 April 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.5887

zbMATH Keywords

de Branges-Rovnyak spacerow contractionGleason problemAleksandrov-Clark measure

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items

Unbounded multipliers of complete Pick spaces, Extremal multipliers of the Drury–Arveson space, Clark measures for rational inner functions, Multivariable versions of a lemma of Kaluza's, Pluriharmonic Clark measures and analogs of model spaces, Column extreme multipliers of the Free Hardy Space, Non-commutative Clark measures for the free and abelian Toeplitz algebras, Clark measures on the complex sphere, Aleksandrov-Clark theory for Drury-Arveson space, Operators affiliated to the Free shift on the Free Hardy Space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Models for n-tuples of noncommuting operators
• Free holomorphic functions and interpolation
• Operator-valued Nevanlinna-Pick kernels and the functional models for contraction operators
• Models for noncommuting operators
• Subalgebras of \(C^*\)-algebras. III: Multivariable operator theory
• Toeplitz algebras, subnormal tuples and rigidity on reproducing \(C[z_{1},\dots ,z_{d}\)-modules]
• Operator-valued Herglotz kernels and functions of positive real part on the ball
• Positivity aspects of the Fantappiè transform
• One dimensional perturbations of restricted shifts
• Isometric Dilations for Infinite Sequences of Noncommuting Operators
• Operator Theory and Function Theory in Drury–Arveson Space and Its Quotients
• Standard Models for some Commuting Multioperators
• A Generalization of Von Neumann's Inequality to the Complex Ball
• Universal Operator Algebras Associated to Contractive Sequences of Non-Commuting Operators
• Non-commutative disc algebras and their representations