Spectral flow as winding number and integral formulas
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- by Charlotte Wahl
- Proc. Amer. Math. Soc. 135 (2007), 4063-4073
- DOI: https://doi.org/10.1090/S0002-9939-07-08919-8
- Published electronically: 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.References
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Bibliographic Information
- Charlotte Wahl
- Affiliation: Mathematisches Inst., Georg-August-Universität Göttingen, Bunsenstr. 3-5, 37073 Göttingen, Germany
- Email: ac.wahl@web.de
- Received by editor(s): July 5, 2006
- Received by editor(s) in revised form: September 11, 2006
- Published electronically: September 12, 2007
- Communicated by: Mikhail Shubin
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 135 (2007), 4063-4073
- MSC (2000): Primary 58J30; Secondary 47B10
- DOI: https://doi.org/10.1090/S0002-9939-07-08919-8
- MathSciNet review: 2341959