arXiv:math/0403327 Abstract

arXiv:math/0403327 [math.FA]Abstract References Reviews Resources

An extension of the Koplienko-Neidhardt trace formulae

Published 2004-03-19Version 1

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.

Comments: 21 pages

Categories: math.FA, math.CA, math.CV

Subjects: 47A55, 47A63, 47B10, 46E35

Keywords: koplienko-neidhardt trace formulae hold, hilbert schmidt class, self-adjoint operators, unitary operators, similar formula

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