Logo

Fredholm Operators and Spectral Flow

Small book cover: Fredholm Operators and Spectral Flow

Fredholm Operators and Spectral Flow
by

Publisher: arXiv
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.

Home page url

Download or read it online for free here:
Download link
(470KB, PDF)

Similar books

Book cover: Distribution Theory (Generalized Functions)Distribution Theory (Generalized Functions)
by
From the table of contents: Introduction; The spaces S and S'; The spaces D and D'; The Fourier transform; Convolution; Fourier-Laplace Transform; Structure Theorem for Distributions; Partial Differential Equations; and more.
(13275 views)
Book cover: Notes on Operator AlgebrasNotes on Operator Algebras
by - 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.
(13063 views)
Book cover: Shape Analysis, Lebesgue Integration and Absolute Continuity ConnectionsShape Analysis, Lebesgue Integration and Absolute Continuity Connections
by - arXiv.org
As shape analysis is intricately related to Lebesgue integration and absolute continuity, it is advantageous to have a good grasp of the two notions. We review basic concepts and results about Lebesgue integration and absolute continuity.
(5886 views)
Book cover: Functional AnalysisFunctional Analysis
by - arXiv
Notes from a course which covered themes in functional analysis and operator theory, with an emphasis on topics of special relevance to such applications as representation theory, harmonic analysis, mathematical physics, and stochastic integration.
(14682 views)