Fredholm Index and Spectral Flow in Non-self-adjoint Case
A version of the ＂Fredholm index = spectral flow＂ theorem is proved for general families of elliptic operators （A（t）}t∈R on closed （compact and without boundary） manifolds. Here we do not require that A（t）, t ∈R or its leading part is self-adjoint.
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| Veröffentlicht in: | Acta mathematica Sinica. English series 2013-05, Vol.29 (5), p.975-992 |
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| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | A version of the ＂Fredholm index = spectral flow＂ theorem is proved for general families of elliptic operators （A（t）}t∈R on closed （compact and without boundary） manifolds. Here we do not require that A（t）, t ∈R or its leading part is self-adjoint. |
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| ISSN: | 1439-8516 1439-7617 |
| DOI: | 10.1007/s10114-013-1045-3 |