Harmonic approximation of Toeplitz operators and index formulas

DOI10.1007/BF01213794zbMath0589.47024MaRDI QIDQ1074087

Bernd Silbermann

Publication date: 1985

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

zbMATH Keywords

Hardy spaceToeplitz determinantstable convergenceharmonic extensionindex formulas for Toeplitz operators via harmonic extensionlocally sectorialmatrix-valued symbol

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) (Semi-) Fredholm operators; index theories (47A53) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Linear operators in ({}^*)-algebras (47C10)

Related Items (2)

Local objects in the theory of Toeplitz operators ⋮ Index Formulas for Toeplitz Operators, Approximate Identities, and the Wolf–Havin Theorem

Cites Work

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• Factorization of matrix-functions belonging to the classes \(\tilde A_ n(p)\) and TL
• Asymptotic behavior of block Toeplitz matrices and determinants. II
• Asymptotics for T<scp>oeplitz</scp> Operators with Piecewise Quasicontinuous Symbols and Related Questions
• Lokale Theorie des Reduktionsverfahrens für Toeplitzoperatoren
• A Local Result for Systems of Riemann-Hilbert Barrier Problems
• SOME GENERAL QUESTIONS IN THE THEORY OF THE RIEMANN BOUNDARY PROBLEM

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