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

被引：0
作者：
Guoyuan Chen
机构：
[1] Zhejiang University of Finance and Economics,School of Mathematics and Statistics
来源：
Acta Mathematica Sinica, English Series | 2013年 / 29卷
关键词：
Fredholm index; spectral flow; non-self-adjoint operators; elliptic operators; 58J30; 58J20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A version of the “Fredholm index = spectral flow” theorem is proved for general families of elliptic operators \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \left\{ {A(t)} \right\}_{t \in \mathbb{R}} $$\end{document} 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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页码：975 / 992
页数：17
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