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Operator algebras generated by commuting projections : a vector measure approach

Author: Werner Ricker
Publisher: Berlin ; New York : Springer, 1999.
Series: Lecture notes in mathematics (Springer-Verlag), 1711.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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 employ the methods of vector measures and integration as a unifying theme throughout. This yields proofs of several  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Ricker, Werner, 1954-
Operator algebras generated by commuting projections.
Berlin ; New York : Springer, 1999
(DLC) 99042231
(OCoLC)42296791
Print version:
Ricker, Werner, 1954-
Operator algebras generated by commuting projections.
Berlin ; New York : Springer, 1999
(OCoLC)795027588
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Werner Ricker
ISBN: 9783540482796 3540482792
OCLC Number: 159958810
Description: 1 online resource (xvii, 159 pages) : illustrations.
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.
Series Title: Lecture notes in mathematics (Springer-Verlag), 1711.
Responsibility: Werner Ricker.

Abstract:

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  Read more...

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