Higher‐order spectral shift for contractions
Denis PotapovSchool of Mathematics and Statistics University of New South Wales Kensington NSW 2052 AustraliaAnna SkripkaDepartment of Mathematics and Statistics University of New Mexico 400 Yale Blvd NE, MSC01 1115 Albuquerque NM 87131‐0001 USAFedor SukochevSchool of Mathematics and Statistics University of New South Wales Kensington NSW 2052 Australia
2013en
ABI
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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