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
Basic Analysis Gently Done: Topological Vector Spacesby Ivan F. Wilde - King's College, London
These notes are based on lectures given as part of a mathematics MSc program. The approach here is to discuss topological vector spaces - with normed spaces considered as special cases. Contents: Topological Spaces; Nets; Product Spaces; etc.
(10890 views)
Shape Analysis, Lebesgue Integration and Absolute Continuity Connectionsby Javier Bernal - 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.
(4242 views)
Functors and Categories of Banach Spacesby Peter W. Michor - Springer
The aim of this book is to develop the theory of Banach operator ideals and metric tensor products along categorical lines: these two classes of mathematical objects are endofunctors on the category Ban of all Banach spaces in a natural way.
(11076 views)
Integral Operatorsby Leif Mejlbro - 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.
(12450 views)