Toeplitz operators with rational symbols, reciprocity

DOI10.1007/BF01301464zbMath0995.47018OpenAlexW2051357649MaRDI QIDQ5943215

Richard W. Carey, Joel D. Pincus

Publication date: 21 October 2002

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

Full work available at URL: https://doi.org/10.1007/bf01301464

zbMATH Keywords

Toeplitz operatorrational functionFredholm operatordeterminantBlaschke productshift operatorSzegö theorem

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) (Semi-) Fredholm operators; index theories (47A53) Decomposition theory for (C^*)-algebras (46L45)

Related Items (3)

Szegő via Jacobi ⋮ Joint torsion of several commuting operators ⋮ Steinberg symbols modulo the trace class, holonomy, and limit theorems for Toeplitz determinants

Cites Work

• Hilbert spaces of analytic functions, inverse scattering and operator models. II
• Reciprocity for Fredholm operators (Lefschetz numbers/Steinberg symbols/holomorphic chains/local index)
• A remark on the Cowen Douglas classes \(B_ n(\Omega)\)
• \(L^ 2\)-analytic torsion
• Introduction to large truncated Toeplitz matrices
• Joint torsion of Toeplitz operators with \(H^{\infty}\) symbols
• Perturbation vectors
• The spectra of certain Toeplitz matrices
• The strong Szegö limit theorem
• The Toeplitz Matrices of an Arbitrary Laurent Polynomial.
• The asymptotic behavior of Toeplitz determinants for generating functions with zeros of integral orders
• Toeplitz Matrices Generated by the Laurent Series Expansion of an Arbitrary Rational Function
• The Isometries of H^p
• Determinants of a Certain Class of Non-Hermitian Toeplitz Matrices.
• Complex geometry and operator theory
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Toeplitz operators with rational symbols, reciprocity