Operator Algebras Generated by Commuting Projections: A Vector Measure Approach

• Κύριος συγγραφέας: Ricker, Werner (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1999.
• Έκδοση: 1st ed. 1999.
• Σειρά: Lecture Notes in Mathematics, 1711
• Θέματα: Operator theory.; Operator Theory.
• Φυσική περιγραφή: XVIII, 166 p. online resource.
• ISBN: 9783540482796
• ISSN: 0075-8434 ;
• DOI: 10.1007/BFb0096184

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.