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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Bibliographic Details
Published inActa mathematica Sinica. English series Vol. 29; no. 5; pp. 975 - 992
Main Author Chen, Guoyuan
Format Journal Article
LanguageEnglish
Published Heidelberg Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 01.05.2013
Springer Nature B.V
Subjects
Algebra
Fourier transforms
lm型
Mathematics
Mathematics and Statistics
Operators
Spectra
Studies
Theorems
Topological manifolds
光谱
定理证明
指数和
案例
椭圆算子
流量
非自伴
58J20
58J30
spectral flow
non-self-adjoint operators
Fredholm index
elliptic operators
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Summary: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.
Bibliography:Fredholm index, spectral flow, non-self-adjoint operators, elliptic operators
11-2039/O1
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.
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-013-1045-3