Jacobi operators and orthonormal matrix-valued polynomials. I

DOI10.1007/s11253-017-1360-4zbMath1506.47049OpenAlexW2746580209MaRDI QIDQ1729585

V. A. Zolotarev, Ra'ed Hatamleh

Publication date: 27 February 2019

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-017-1360-4

zbMATH Keywords

self-adjoint operatorseparable Hilbert spaceblock Jacobi operatororthogonal operator-valued polynomials

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Cites Work

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• Riesz's theorem for orthogonal matrix polynomials
• The Analytic Theory of Matrix Orthogonal Polynomials
• de Branges Spaces and Growth Aspects
• Jacobi Matrices and de Branges Spaces
• Deficiency numbers of symmetric operators generated by block Jacobi matrices
• The Nevanlinna parametrization for a matrix moment problem
• Truncated Hamburger moment problem for an operator measure with compact support
• Spectral theory of operator measures in Hilbert space