
Fundamentals of the Theory of Operator Algebras. V1
Description
Alles über E-Books | Antworten auf Fragen rund um E-Books, Kopierschutz und Dateiformate finden Sie in unserem Info- & Hilfebereich.
More details
Other editions
Additional editions
Persons
Content
- Front Cover
- Fundamentals of the Theory of Operator Algebras
- Copyright Page
- Contents
- Preface
- Contents of Volume II
- Chapter 1. Linear Spaces
- 1.1. Algebraic results
- 1.2. Linear topological spaces
- 1.3. Weak topologies
- 1.4. Extreme points
- 1.5. Normed spaces
- 1.6. Linear functionals on normed spaces
- 1.7. Some examples of Banach spaces
- 1.8. Linear operators acting on Banach spaces
- 1.9. Exercises
- Chapter 2. Basics of Hilbert Space and Linear Operators
- 2.1. Inner products on linear spaces
- 2.2. Orthogonality
- 2.3. The weak topology
- 2.4. Linear operators
- 2.5. The lattice of projections
- 2.6. Constructions with Hilbert spaces
- 2.7. Unbounded linear operators
- 2.8. Exercises
- Chapter 3. Banach Algebras
- 3.1. Basics
- 3.2. The spectrum
- 3.3. The holomorphic function calculus
- 3.4. The Banach algebra C(X)
- 3.5. Exercises
- Chapter 4. Elementary C*-Algebra Theory
- 4.1. Basics
- 4.2. Order structure
- 4.3. Positive linear functionals
- 4.4. Abelian algebras
- 4.5. States and representations
- 4.6. Exercises
- Chapter 5. Elementary von Neumann Algebra Theory
- 5.1. The weak- and strong-operator topologies
- 5.2. Spectral theory for bounded operators
- 5.3. Two fundamental approximation theorems
- 5.4. Irreducible algebras-an application
- 5.5. Projection techniques and constructs
- 5.6. Unbounded operators and abelian von Neumann algebras
- 5.7. Exercises
- Bibliography
- Index of Notation
- Index
- Pure and Applied Mathematics
System requirements
File format: PDF
Copy protection: Watermark-DRM (Digital Rights Management)
System requirements:
- Computer (Windows; MacOS X; Linux): Use the free software Adobe Reader, Adobe Digital Editions, or any other PDF viewer of your choice (see eBook Help).
- Tablet/Smartphone (Android; iOS): Install the free app Adobe Digital Editions or another reading app for eBooks, e.g., PocketBook (see eBook Help).
- E-reader: Bookeen, Kobo, Pocketbook, Sony, Tolino and many more (only limited: Kindle).
The file format PDF always displays a book page identically on any hardware. This makes PDF suitable for complex layouts such as those used in textbooks and reference books (images, tables, columns, footnotes). Unfortunately, on the small screens of e-readers or smartphones, PDFs are rather annoying, requiring too much scrolling.
This eBook uses Watermark-DRM, a „soft” copy protection. This means that there are no technical restrictions to prevent illegal distribution. However, there is a personalised watermark embedded in the eBook that can be used to identify the purchaser of the eBook in the event of misuse and to provide evidence for legal purposes.
For more information, see our eBook Help page.