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arXiv · 2106.05780

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

Arup Chattopadhyay·Chandan Pradhan
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Abstract

In \cite{Mor}, Marcantognini and Mor\'{a}n 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}.

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Arup Chattopadhyay, Chandan Pradhan. 2021-06-10. Higher-order spectral shift for pairs of contractions via multiplicative path. https://arxiv.org/abs/2106.05780

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