**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

**Introduction to Functional Analysis**

by

**Vladimir V. Kisil**-

**University of Leeds**

Contents: Fourier Series; Basics of Linear Spaces; Orthogonality; Fourier Analysis; Duality of Linear Spaces; Operators; Spectral Theory; Compactness; The spectral theorem for compact normal operators; Applications to integral equations; etc.

(

**10701**views)

**Jordan Operator Algebras**

by

**Harald Hanche-Olsen, Erling StÃ¸rmer**-

**Pitman**

Introduction to Jordan algebras of operators on Hilbert spaces and their abstract counterparts. It develops the theory of Jordan operator algebras to a point from which the theory of C*- and von Neumann algebras can be generalized to Jordan algebras.

(

**11471**views)

**Operator Algebras and Quantum Statistical Mechanics**

by

**Ola Bratteli, Derek W. Robinson**-

**Springer**

These two volumes present the theory of operator algebras with applications to quantum statistical mechanics. The authors' approach to the operator theory is to a large extent governed by the dictates of the physical applications.

(

**15755**views)

**Global Analysis: Functional Analysis Examples**

by

**Leif Mejlbro**-

**BookBoon**

From the table of contents: Metric spaces; Topology; Continuous mappings; Sequences; Semi-continuity; Connected sets, differentiation; Normed vector spaces and integral operators; Differentiable mappings; Complete metric spaces; and more.

(

**10602**views)