Higher order spectral shift for contractions
Functional Analysis
2014-02-26 v1 Spectral Theory
Abstract
We derive strong estimates for Schatten norms of operator derivatives along paths of contractions and apply them to prove existence of higher order spectral shift functions for pairs of contractions.
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Cite
@article{arxiv.1210.8227,
title = {Higher order spectral shift for contractions},
author = {Denis Potapov and Anna Skripka and Fedor Sukochev},
journal= {arXiv preprint arXiv:1210.8227},
year = {2014}
}
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28 pages