paper

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

arXiv:2106.05780

Abstract

In \cite{Mor}, Marcantognini and Morán 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 \cite{Mor}.

26 pages