An extension of the Koplienko-Neidhardt trace formulae
Functional Analysis
2007-05-23 v1 Classical Analysis and ODEs
Complex Variables
Abstract
Koplienko [Ko] found a trace formula for perturbations of self-adjoint operators by operators of Hilbert Schmidt class . A similar formula in the case of unitary operators was obtained by Neidhardt [N]. In this paper we improve their results and obtain sharp conditions under which the Koplienko--Neidhardt trace formulae hold.
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Cite
@article{arxiv.math/0403327,
title = {An extension of the Koplienko-Neidhardt trace formulae},
author = {Vladimir Peller},
journal= {arXiv preprint arXiv:math/0403327},
year = {2007}
}
Comments
21 pages