ISBN: 3-540-66461-0
TITLE: Operator Algebras Generated by Commuting Projections: A Vector Measure Approach
AUTHOR: Ricker, Werner
TOC:
PREFACE v
INTRODUCTION
I Vector measures and Banach spaces 1
II Abstract Boolean algebras and Stone spaces 25
III Boolean algebras of projections and uniformly closed operator algebras 41
IV Ranges of spectral measures and Boolean algebras of projections 57
V Integral representation of the strongly closed algebra generated by a Boolean algebra of projections 67
VI Bade functionals: an application to scalar-type spectral operators 91
VII The reflexivity theorem and bicommutant algebras 105
Bibliography 121
Appendix 125
List of symbols 153
Subject index 156
END