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: An Introduction to Hilbert Module Approach to Multivariable Operator TheoryAn Introduction to Hilbert Module Approach to Multivariable Operator Theory
by - arXiv
An introduction of Hilbert modules over function algebras. The theory of Hilbert modules is presented as combination of commutative algebra, complex geometry and Hilbert spaces and its applications to the theory of n-tuples of commuting operators.
(4373 views)
Book cover: Linear Functional AnalysisLinear Functional Analysis
by - Macquarie University
An introduction to the basic ideas in linear functional analysis: metric spaces; connectedness, completeness and compactness; normed vector spaces; inner product spaces; orthogonal expansions; linear functionals; linear transformations; etc.
(12271 views)
Book cover: Functional AnalysisFunctional Analysis
by - University of Vienna
This free manuscript provides a brief introduction to Functional Analysis. The text covers basic Hilbert and Banach space theory including Lebesgue spaces and their duals (no knowledge about Lebesgue integration is assumed).
(10739 views)
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.
(10622 views)