A generalized winding number formula for the Witten index of a Toeplitz operator

Journal of Spectral Theory 2026 Open access

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Authors: Masaki Izumi
DOI: 10.4171/jst/593
Cited by: 0

Abstract

We generalize the winding number formula for the Fredholm index of a Toeplitz operator to the Witten index. We also show trace formulae involving Toeplitz operators and operator monotone functions.

Fields of Study & Subjects

Holomorphic and Operator Theory Spectral Theory in Mathematical Physics Advanced Operator Algebra Research

Publication details

Journal / source
Journal of Spectral Theory
Volume
16
Issue
1
Pages
271–297
Publication date
5 February 2026
Language
EN