Operator algebras generated by commuting projections : a vector measure approach / Werner Ricker.

By:

Ricker, Werner, 1954-

Material type: Text

TextSeries: Lecture notes in mathematics (Springer-Verlag) ; 1711.Publication details: Berlin ; New York : Springer, 1999.Description: 1 online resource (xvii, 159 pages) : illustrationsContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9783540482796
3540482792

Subject(s): Additional physical formats: Print version:: Operator algebras generated by commuting projections.; Print version:: Operator algebras generated by commuting projections.DDC classification:

510 s 512/.55 21

LOC classification:

QA3 .L28 no. 1711 QA323

Online resources:

Click here to access online

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.

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 classical results which are quite different to the classical ones. This book is directed to both those wishing to learn this topic for the first time and to current experts in the field.

Holdings ( 1 )
Title notes ( 4 )

Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode	Item holds
eBook	e-Library	eBook LN Mathematic		Available

Total holds: 0

Includes bibliographical references (pages 121-123) and index.

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 classical results which are quite different to the classical ones. This book is directed to both those wishing to learn this topic for the first time and to current experts in the field.

English.