Title of article
An extension of the Koplienko–Neidhardt trace formulae
Author/Authors
V.V. Peller1، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2005
Pages
26
From page
456
To page
481
Abstract
Koplienko (Sibirsk. Mat. Zh. 25(5) (1984) 62) found a trace formula for perturbations of
self-adjoint operators by operators of Hilbert Schmidt class S2. A similar formula in the case
of unitary operators was obtained by Neidhardt (Math. Nachr. 138 (1988) 7). In this paper we
improve their results and obtain sharp conditions under which the Koplienko–Neidhardt trace
formulae hold.
© 2004 Elsevier Inc. All rights reserved.
Keywords
Perturbations , Trace class , Spectral shift function , Hilbert Schmidt class , Trace formula
Journal title
Journal of Functional Analysis
Serial Year
2005
Journal title
Journal of Functional Analysis
Record number
838888
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