An extension of the Koplienko-Neidhardt trace formulae

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Koplienko [Ko] found a trace formula for perturbations of self-adjoint operators by operators of Hilbert Schmidt class $\bS_2$. 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.
21 pages

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Functional Analysis, Classical Analysis and ODEs, Complex Variables, 47A55, 47A63, 47B10, 46E35

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http://salesiana.dossiersoluciones.com/handle/123456789/70515

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0403327
 http://arxiv.org/abs/math/0403327

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arXiv