The resolution of the identity for selfadjoint Toeplitz operators with rational matrix symbol

DOI10.1007/BF01197571zbMath0829.47021MaRDI QIDQ1892616

Rob Vreugdenhil

Publication date: 19 June 1995

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

zbMATH Keywords

resolution of the identityselfadjoint block Toeplitz operatorrational matrix symbolrealization of the symbol

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 operators (47G10) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

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Cites Work

• On symmetric rational transfer functions
• Matrices and indefinite scalar products
• Minimal factorization of matrix and operator functions
• Factorization of matrix functions and singular integral operators
• Minimal factorization of selfadjoint rational matrix functions
• Eigenspaces of families of Toeplitz operators with rational matrix symbols
• The absolute continuity of Toeplitz's matrices
• Diskrete Konvergenz linearer Operatoren. II
• 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
• The Spectra of Toeplitz's Matrices
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