Joint torsion of Toeplitz operators with \(H^{\infty}\) symbols
type: Item
instance of: scholarly article
title: Joint torsion of Toeplitz operators with \(H^{\infty}\) symbols
zbMATH Open document ID: 0951.47030
DOI: 10.1007/BF01230735
author: Richard W. Carey
author: Joel D. Pincus
published in: Integral Equations and Operator Theory
publication date: 2000-12-11T00:00:00Z
review text: The authors introduce and study the joint torsion, a non zero complex valued analytic index, of a pair of Toeplitz operators with \(H^{\infty}\) symbols. They explain how the monodromy of a flat line bundle is associated to a pair of Toeplitz operators \(T_{\phi}\) and \(T_{\psi}\) with \(H^{\infty}\) symbols, and how the joint torsion provides a link between Koszul complexes and Steinberg symbols.
Mathematics Subject Classification ID: 47B35
Mathematics Subject Classification ID: 46L87
Mathematics Subject Classification ID: 47B20
Mathematics Subject Classification ID: 46L45
Mathematics Subject Classification ID: 47A53
Mathematics Subject Classification ID: 19K33
Mathematics Subject Classification ID: 19D55
zbMATH DE Number: 1289877
zbMATH Keywords: joint torsion
zbMATH Keywords: analytic index
zbMATH Keywords: Toeplitz operators
zbMATH Keywords: \(H^\infty\) symbols
zbMATH Keywords: monodromy
zbMATH Keywords: flat line bundle
zbMATH Keywords: Koszul complexes
zbMATH Keywords: Steinberg symbols
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1289877