Arup Chattopadhyay, Chandan Pradhan
Published 2021-06-10Version 1
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}.
Koplienko-Neidhardt trace formula for unitaries $-$ A new proof
Multivariable $ρ$-contractions
Differentiability of functions of contractions
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