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.

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 emp...

Πίνακας περιεχομένων:

• Vector measures and Banach spaces
• Abstract Boolean algebras and Stone spaces
• Boolean algebras of projections and uniformly closed operator algebras
• Ranges of spectral measures and Boolean algebras of projections
• Integral representation of the strongly closed algebra generated by a Boolean algebra of projections
• Bade functionals: an application to scalar-type spectral operators
• The reflexivity theorem and bicommutant algebras.