Diagonalization of the absolute continuous component of selfadjoint Toeplitz operators with rational matrix symbols

DOI10.1007/BF01191248zbMath0864.47014MaRDI QIDQ2564752

Rob Vreugdenhil

Publication date: 15 January 1997

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

diagonalizationselfadjoint block Toeplitz operatorrealization of the symbolabsolute continuous componentspectral pointtotal multiplicity of the spectrum

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Spectrum, resolvent (47A10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Cites Work

• Multiplicity of the spectrum of Toeplitz operators, weighted cocycles and the vector Riemann problem
• Minimal factorization of matrix and operator functions
• The resolution of the identity for selfadjoint Toeplitz operators with rational matrix symbol
• Eigenspaces of families of Toeplitz operators with rational matrix symbols
• The absolute continuity of Toeplitz's matrices
• On the Structure of Selfadjoint Toeplitz Operators with Rational Matrix Symbols
• Self-Adjoint Toeplitz Operators and Associated Orthonormal Functions
• On a similarity theory for rational Toeplitz operators.
• A Concrete Spectral Theory for Self-Adjoint Toeplitz Operators
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