Operator Algebras Generated by Commuting Projections
Subtitle: A Vector Measure Approach (Lecture Notes in Mathematics)
Publisher: Springer
Published: November 15, 1999
Language: eng
Format: Paperback
Number of pages: 159
ISBN-13: 9783540664611
Subjects: Functional Analysis; Linear algebra; Mathematical Analysis; Boolean Algebra; Mathematics; Vector valued functions; Science/Mathematics; Algebra - Linear; General; Algebra, Boolean; Algebra - General; Operator algebras
Description: 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.