Fredholm Operators and Spectral Flow
by Nils Waterstraat
Publisher: arXiv 2016
Number of pages: 61
Description:
Fredholm operators are one of the most important classes of linear operators in mathematics. These are extended lecture notes of a PhD course. The aim of the notes is an essentially self-contained introduction to the spectral flow for paths of (generally unbounded) selfadjoint Fredholm operators.
Download or read it online for free here:
Download link
(470KB, PDF)
Similar books
Nonlinear Functional Analysisby Gerald Teschl - University of Vienna
This manuscript provides a brief introduction to nonlinear functional analysis. As an application we consider partial differential equations and prove existence and uniqueness for solutions of the stationary Navier-Stokes equation.
(15903 views)
Topics in Real and Functional Analysisby Gerald Teschl - Universitaet Wien
This manuscript provides a brief introduction to Real and (linear and nonlinear) Functional Analysis. It covers basic Hilbert and Banach space theory as well as basic measure theory including Lebesgue spaces and the Fourier transform.
(16297 views)
Functional Analysis with Applicationsby Palle Jorgensen, Feng Tian - arXiv
This book at the beginning graduate level will help students with primary interests elsewhere to acquire a facility with tools of a functional analytic flavor, say in harmonic analysis, numerical analysis, stochastic processes, or in physics.
(12115 views)
Notes on Operator Algebrasby G. Jungman - Los Alamos National Laboratory
Lecture notes on operator algebras. From the table of contents: Structure Theory I; von Neumann Algebras; States and Representations; Structure Theory II; Matrices; Automorphism Groups; Extensions; K-Theory; Nuclear C* Algebras.
(12081 views)