Fredholm index and spectral flow in non-self-adjoint case

Authors
Chen, Guoyuan
Citation
Chen, Guoyuan, Fredholm index and spectral flow in non-self-adjoint case, Acta mathematica Sinica. English series (Print) , 29(5), 2013, pp. 975-992
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
29
Issue
5
Year of publication
2013
Pages
975 - 992
Database
ACNP
SICI code
Abstract
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 . . or its leading part is self-adjoint.