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...
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| Format: | eBook |
| Language: | English |
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Berlin, Heidelberg
Springer Berlin Heidelberg
1999, 1999
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| Edition: | 1st ed. 1999 |
| Series: | Lecture Notes in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
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