Higher-order spectral shift for pairs of contractions via multiplicative path

Abstract

In Mor, Marcantognini and Mor\'an obtained Koplienko-Neidhardt trace formula for pairs of contractions and pairs of maximal dissipative operators via multiplicative path. In this article, we prove the existence of higher-order spectral shift functions for pairs of contractions and pairs of maximal dissipative operators via multiplicative path by adapting the argument employed in Mor.

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