Name: Third order trace formula
Keywords: Mathematics - Functional Analysis, Materials Research Centre, FOS: Mathematics, Functional Analysis (math.FA)

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Nov 2013Embargo end date: 01 Jan 2012 English Publisher:Springer Science and Business Media LLCJournal:Proceedings - Mathematical Sciences, volume 123, pages 547-575 (issn: 0253-4142, eissn: 0973-7685,

Authors: Chattopadhyay, Arup; Sinha, Kalyan B;

doi: 10.1007/s12044-013-0145-4 , 10.48550/arxiv.1207.3500

arXiv: http://arxiv.org/abs/1207.3500

Third order trace formula

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Abstract

In (J. Funct. Anal. 257, 1092-1132 (2009)), Dykema and Skripka showed the existence of higher order spectral shift functions when the unperturbed self-adjoint operator is bounded and the perturbations 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).

26 pages

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Mathematics - Functional Analysis, Materials Research Centre, FOS: Mathematics, Functional Analysis (math.FA)

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