Mathematics – Functional Analysis
Scientific paper
2004-03-19
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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