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

Functional Analysis 2021-06-11 v1

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}.

Keywords

Cite

@article{arxiv.2106.05780,
  title  = {Higher-order spectral shift for pairs of contractions via multiplicative path},
  author = {Arup Chattopadhyay and Chandan Pradhan},
  journal= {arXiv preprint arXiv:2106.05780},
  year   = {2021}
}

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26 pages