Lecture Notes in Mathematics

Operator Algebras Generated by Commuting Projections: A Vector Measure Approach

Authors: Ricker, Werner

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About this book

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.

Table of contents (7 chapters)

  • Vector measures and Banach spaces

    Ricker, Werner

    Pages 1-24

  • Abstract Boolean algebras and Stone spaces

    Ricker, Werner

    Pages 25-40

  • Boolean algebras of projections and uniformly closed operator algebras

    Ricker, Werner

    Pages 41-56

  • Ranges of spectral measures and Boolean algebras of projections

    Ricker, Werner

    Pages 57-66

  • Integral representation of the strongly closed algebra generated by a Boolean algebra of projections

    Ricker, Werner

    Pages 67-90

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-3-540-48279-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.99
price for USA
  • ISBN 978-3-540-66461-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Operator Algebras Generated by Commuting Projections: A Vector Measure Approach
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1711
Copyright
1999
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-48279-6
DOI
10.1007/BFb0096184
Softcover ISBN
978-3-540-66461-1
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XVIII, 166
Topics