The Koplienko-Neidhardt trace formula for unitaries - A new proof

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:505

Article

Chattopadhyay, Arup¹  Das, Soma¹  Pradhan, Chandan¹ 

[1] Indian Inst Technol Guwahati, Dept Math, Gauhati 781039, India

关键词: Spectral shift function;    Trace formula;    Perturbations;    Trace class;    Hilbert Schmidt class;   

DOI  :  10.1016/j.jmaa.2021.125467

来源: Elsevier

【 摘 要 】

Koplienko [11] found a trace formula for perturbations of self-adjoint operators by operators of Hilbert-Schmidt class B2(H). Later in 1988, a similar formula was obtained by Neidhardt [19] in the case of unitary operators. In this article, we give a still another proof of Koplienko-Neidhardt trace formula in the case of unitary operators by reducing the problem to a finite dimensional one as in the proof of Krein's trace formula by Voiculescu [35], Sinha and Mohapatra [30,31]. (c) 2021 Elsevier Inc. All rights reserved.

【 授权许可】

Free