Unitary perturbations of compressed \(n\)-dimensional shifts

DOI10.1007/s11785-012-0236-8zbMath1294.47036arXiv1107.3439OpenAlexW2067486188MaRDI QIDQ371820

R. T. W. Martin

Publication date: 10 October 2013

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.3439

zbMATH Keywords

de Branges-Rovnyak spaceAleksandrov-Clark measuresmatrix-valued holomorphic functionsunitary perturbations

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (7)

Applications of de Branges Spaces of Vector-Valued Functions ⋮ Matrix-valued Aleksandrov-Clark measures and Carathéodory angular derivatives ⋮ Column extreme multipliers of the Free Hardy Space ⋮ The numerical range of a contraction with finite defect numbers ⋮ Extensions of symmetric operators. I: The inner characteristic function case ⋮ Matrix valued truncated Toeplitz operators: basic properties ⋮ Semigroups of partial isometries and symmetric operators

Cites Work

• Prediction theory and Fourier series in several variables
• A matrix-valued Aleksandrov disintegration theorem
• One dimensional perturbations of restricted shifts
• Bases of reproducing kernels in de Branges spaces
• Isometric operators with equal deficiency indices, quasi-unitary operators
• Modern sampling theory. Mathematics and applications
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Unitary perturbations of compressed \(n\)-dimensional shifts