Operator Algebras Generated by Commuting Projections: A Vector Measure Approach

  • Authors
  • Werner Ricker

Part of the Lecture Notes in Mathematics book series (LNM, volume 1711)

About this book

Introduction

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.

Keywords

Banach space algebra operator algebras projections spectral measures

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0096184
  • Copyright Information Springer-Verlag Berlin Heidelberg 1999
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-66461-1
  • Online ISBN 978-3-540-48279-6
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book