Operator Algebras Generated by Commuting Projections: A Vector Measure Approach
This book presents a systematic investigation of the theory of those commutative, unital subalgebras (of bounded linear operators acting in a Banach space) which are closed for some given topology and are generated by a uniformly bounded Boolean algebra of projections. One of the main aims is to emp...
| Main Author: | |
|---|---|
| Corporate Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
1999.
|
| Edition: | 1st ed. 1999. |
| Series: | Lecture Notes in Mathematics,
1711 |
| Subjects: | |
| Online Access: | Full Text via HEAL-Link |
Table of Contents:
- Vector measures and Banach spaces
- Abstract Boolean algebras and Stone spaces
- Boolean algebras of projections and uniformly closed operator algebras
- Ranges of spectral measures and Boolean algebras of projections
- Integral representation of the strongly closed algebra generated by a Boolean algebra of projections
- Bade functionals: an application to scalar-type spectral operators
- The reflexivity theorem and bicommutant algebras.