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 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.
(12583 views)
Functional Analysisby Feng Tian, Palle E.T. Jorgensen - 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.
(12469 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.
(12376 views)
Banach Spaces of Analytic Functionsby enneth Hoffman - Prentice-Hall
A classic of pure mathematics, this advanced text explores the intersection of functional analysis and analytic function theory. Close in spirit to abstract harmonic analysis, it is confined to Banach spaces of analytic functions in the unit disc.
(8776 views)