Lecture notes on C*-algebras, Hilbert C*-modules, and quantum mechanics
by N.P. Landsman
Publisher: arXiv 1998
Number of pages: 90
Description:
This is a graduate-level introduction to C*-algebras, Hilbert C*-modules, vector bundles, and induced representations of groups and C*-algebras, with applications to quantization theory, phase space localization, and configuration space localization. The reader is supposed to know elementary functional analysis and quantum mechanics.
Download or read it online for free here:
Download link
(1MB, PDF)
Similar books
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.
(11146 views)
Functional Analysisby Alexander C. R. Belton - Lancaster University
These lecture notes are an expanded version of a set written for a course given to final-year undergraduates at the University of Oxford. A thorough understanding of Banach and Hilbert spaces is a prerequisite for this material.
(12605 views)
Functional Analysis Lecture Notesby T.B. Ward - University of East Anglia
Lecture notes for a 3rd year undergraduate course in functional analysis. By the end of the course, you should have a good understanding of normed vector spaces, Hilbert and Banach spaces, fixed point theorems and examples of function spaces.
(11379 views)
Fredholm Operators and Spectral Flowby Nils Waterstraat - arXiv
Fredholm operators are one of the most important classes of linear operators in mathematics. The aim of these notes is an essentially self-contained introduction to the spectral flow for paths of (generally unbounded) selfadjoint Fredholm operators.
(7122 views)