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Spectral flow as winding number and integral formulas

Author(s): Charlotte Wahl
Journal: Proc. Amer. Math. Soc. 135 (2007), 4063-4073.
MSC (2000): Primary 58J30; Secondary 47B10
Posted: September 12, 2007
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Abstract: A general integral formula for the spectral flow of a path of unbounded selfadjoint Fredholm operators subject to certain summability conditions is derived from the interpretation of the spectral flow as a winding number.

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Additional Information:

Charlotte Wahl
Affiliation: Mathematisches Inst., Georg-August-Universität Göttingen, Bunsenstr. 3-5, 37073 Göttingen, Germany
Email: ac.wahl@web.de

DOI: 10.1090/S0002-9939-07-08919-8
PII: S 0002-9939(07)08919-8
Keywords: Spectral flow, integral formula, winding number, Schatten ideal
Received by editor(s): July 5, 2006, and in revised form, September 11, 2006
Posted: September 12, 2007
Communicated by: Mikhail Shubin
Copyright of article: Copyright 2007, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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