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: Nonlinear Functional AnalysisNonlinear Functional Analysis
by - 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.
(9588 views)
Book cover: Spectral TheorySpectral Theory
by - BookBoon
Spectral Theory - Functional Analysis Examples. Contents: Spectrum and resolvent; The adjoint of a bounded operator; Self adjoint operator; Isometric operators; Unitary and normal operators; Positive operators and projections; Compact operators.
(8327 views)
Book cover: Integral OperatorsIntegral Operators
by - BookBoon
Examples of Hilbert-Smith operators and other types of integral operators, Hilbert Schmidt norm, Volterra integral operator, Cauchy-Schwarz inequality, Hoelder inequality, iterated kernels, Hermitian kernel, and much more.
(7531 views)
Book cover: Lectures On Some Fixed Point Theorems Of Functional AnalysisLectures On Some Fixed Point Theorems Of Functional Analysis
by - Tata Institute Of Fundamental Research
The book is concerned with the application of a variety of methods to both non-linear (fixed point) problems and linear (eigenvalue) problems in infinite dimensional spaces. Author was interested in the construction of eigenvectors and eigenvalues.
(6076 views)