An extension of the Koplienko–Neidhardt trace formulae

Koplienko (Sibirsk. Mat. Zh. 25(5) (1984) 62) found a trace formula for perturbations of self-adjoint operators by operators of Hilbert Schmidt class S 2 . 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...

Full description

Saved in:
Bibliographic Details
Published inJournal of functional analysis Vol. 221; no. 2; pp. 456 - 481
Main Author Peller, V.V.
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.04.2005
Subjects
Hilbert Schmidt class
Perturbations
Spectral shift function
Trace class
Trace formula
Hilbert Schmidt class
Spectral shift function
Trace class
Perturbations
Trace formula
Online AccessGet full text

Cover

More Information
Summary:Koplienko (Sibirsk. Mat. Zh. 25(5) (1984) 62) found a trace formula for perturbations of self-adjoint operators by operators of Hilbert Schmidt class S 2 . 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.
ISSN:0022-1236
1096-0783
DOI:10.1016/j.jfa.2004.10.004