An extension of the Koplienko-Neidhardt trace formulae

Details An extension of the Koplienko-Neidhardt trace formulae An extension of the Koplienko-Neidhardt trace formulae

2004-03-19

arxiv.org/abs/math/0403327v1

Mathematics

Functional Analysis

21 pages

Scientific paper

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.

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