Analytic contractions, nontangential limits, and the index of invariant subspaces

DOI10.1090/S0002-9947-07-04258-4zbMath1126.47023MaRDI QIDQ3431219

Alexandru Aleman, C.-E. Sundberg, Stephan Richter

Publication date: 5 April 2007

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

zbMATH Keywords

invariant subspacesindexcontractionsnontangential limitsHilbert space of analytic functions

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Spaces of bounded analytic functions of one complex variable (30H05) 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) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32) Cluster sets, prime ends, boundary behavior (30D40)

Related Items (5)

Asymptotically cyclic quasianalytic contractions ⋮ Boundary behavior in Hilbert spaces of vector-valued analytic functions ⋮ Spectral mapping theorems for polynomially bounded operators ⋮ On the index of invariant subspaces in Hilbert spaces of vector-valued analytic functions ⋮ Linear graph transformations on spaces of analytic functions

Cites Work

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• Some sufficient conditions for the division property of invariant subspaces in weighted Bergman spaces
• The majorization function and the index of invariant subspaces in the Bergman spaces.
• Factorization theorems and the structure of operators on Hilbert space
• Beurling type density theorems in the unit disk
• The codimension-\(1\) property in Bergman spaces over planar regions
• Bergman-type reproducing kernels, contractive divisors, and dilations
• Invariant subspaces of the Bergman space and some subnormal operators in \(\mathbb{A}_ 1\backslash\mathbb{A}_ 2\)
• Nontangential limits in \(P^t(\mu )\)-spaces and the index of invariant subgroups
• On Absolutely Convergent Exponential Sums
• Invariant Subspaces in Banach Spaces of Analytic Functions
• Growth Near the Boundary in H 2 (μ) Spaces
• Pseudocontinuations and the backward shift
• The second duals of certain spaces of analytic functions
• Theory of Reproducing Kernels

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