C*-algebras
by John Erdos
Publisher: King's College, London 2003
Number of pages: 51
Description:
These notes form an introductory account of C*-algebras. Some results on more general commutative Banach algebras, whose proofs require little extra effort, are included. There are accounts of two applications of the commutative theory: the C*-algebra approach to the spectral theorem for bounded normal operators on Hilbert space and a brief introduction to the ideas of abstract harmonic analysis.
Download or read it online for free here:
Download link
(280KB, PDF)
Similar books
Distribution Theory (Generalized Functions)by Ivan F Wilde
From the table of contents: Introduction; The spaces S and S'; The spaces D and D'; The Fourier transform; Convolution; Fourier-Laplace Transform; Structure Theorem for Distributions; Partial Differential Equations; and more.
(10675 views)
Lectures On Some Fixed Point Theorems Of Functional Analysisby F.F. Bonsall - 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.
(10256 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.
(8254 views)
Lecture notes on C*-algebras, Hilbert C*-modules, and quantum mechanicsby N.P. Landsman - arXiv
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.
(12475 views)