Third Order Trace Formula

Proceedings Mathematical Sciences

Kalyan B Sinha¹  Arup Chattopadhyay² 

[1] Indian Institute of Science, Bangalore 0 0, India$$;J.N. Centre for Advanced Scientific Research, Bangalore 0 0, India$$

关键词: Trace formula;    spectral shift function;    perturbations of self-adjoint operators.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In J. Funct. Anal. 257 (2009) 1092–1132, Dykema and Skripka showed the existence of higher order spectral shift functions when the unperturbed self-adjoint operator is bounded and the perturbation is Hilbert–Schmidt. In this article, we give a different proof for the existence of spectral shift function for the third order when the unperturbed operator is self-adjoint (bounded or unbounded, but bounded below).

【 授权许可】

Unknown