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

Masaki Izumi

doi:10.4171/jst/593

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

Masaki Izumi
Kyoto University, Japan

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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.

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Masaki Izumi, A generalized winding number formula for the Witten index of a Toeplitz operator. J. Spectr. Theory (2026), published online first

DOI 10.4171/JST/593