**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

**Lectures On Some Fixed Point Theorems Of Functional Analysis**

by

**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.

(

**10837**views)

**An Introduction to Hilbert Module Approach to Multivariable Operator Theory**

by

**Jaydeb Sarkar**-

**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.

(

**7247**views)

**Hilbert Space Methods for Partial Differential Equations**

by

**R. E. Showalter**-

**Pitman**

Written for beginning graduate students of mathematics, engineering, and the physical sciences. It covers elements of Hilbert space, distributions and Sobolev spaces, boundary value problems, first order evolution equations, etc.

(

**16285**views)

**Functional Analysis with Applications**

by

**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.

(

**11289**views)