Chattopadhyay, Arup and Sinha, Kalyan B (2013) Third order trace formula. In: PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 123 (4). pp. 547-575.
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Official URL: http://dx.doi.org/10.1007/s12044-013-0145-4
Abstract
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).
| Item Type: | Journal Article |
|---|---|
| Publication: | PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES |
| Publisher: | INDIAN ACAD SCIENCES |
| Additional Information: | copyright for this article belongs to INDIAN ACAD SCIENCES,BANGALORE |
| Keywords: | Trace formula; spectral shift function; perturbations of self-adjoint operators |
| Department/Centre: | Division of Chemical Sciences > Materials Research Centre |
| Date Deposited: | 08 Jan 2014 06:01 |
| Last Modified: | 08 Jan 2014 06:03 |
| URI: | http://eprints.iisc.ac.in/id/eprint/48152 |
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