Fredholm Index and Spectral Flow in Non-self-adjoint Case
Fredholm Index and Spectral Flow in Non-self-adjoint Case作者机构:School of Mathematics and Statistics Zhejiang University of Finance and Economics
出 版 物:《Acta Mathematica Sinica,English Series》 (数学学报(英文版))
年 卷 期:2013年第29卷第5期
页 面:975-992页
核心收录:
学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学]
主 题:Fredholm index spectral flow non-self-adjoint operators elliptic operators
摘 要: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.