Functional models and asymptotically orthonormal sequences.

DOI10.5802/aif.1987zbMath1060.47014OpenAlexW2520867345MaRDI QIDQ1415577

Isabelle Chalendar, Emmanuel Fricain, Dan Timotin

Publication date: 8 December 2003

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2003__53_5_1527_0

zbMATH Keywords

Hardy spacefunctional modelasymptotically orthonormal sequence

Mathematics Subject Classification ID

Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Canonical models for contractions and nonselfadjoint linear operators (47A45)

Related Items

Schur-Nevanlinna parameters, Riesz bases, and compact Hankel operators on the model space ⋮ Thin sequences and their role in \(H^p\) theory, model spaces, and uniform algebras ⋮ Uniform approximation by indestructible Blaschke products ⋮ Thin sequences and the Gram matrix ⋮ Thin Interpolating Sequences ⋮ Remarks on one-component inner functions ⋮ Berezin symbol and invertibility of operators on the functional Hilbert spaces ⋮ Thin sequences and their role in model spaces and Douglas algebras ⋮ On certain Riesz families in vector-valued de Branges-Rovnyak spaces ⋮ Bases of reproducing kernels in de Branges spaces

Cites Work

• Geometric properties of projections of reproducing kernels on \(z^*\)-invariant subspaces of \(H^2\)
• One dimensional perturbations of restricted shifts
• Interpolating Sequences for QA B
• Thin Interpolating Sequences and Three Algebras of Bounded Functions
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