Multiplication Operators on the Bergman Space

• Κύριοι συγγραφείς: Guo, Kunyu (Συγγραφέας), Huang, Hansong (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2015.
• Σειρά: Lecture Notes in Mathematics, 2145
• Θέματα: Mathematics.; Functional analysis.; Operator theory.; Operator Theory.; Functional Analysis.

This book deals with various aspects of commutants and reducing subspaces of multiplication operators on the Bergman space, along with relevant von Neumann algebras generated by these operators, which have been the focus of considerable attention from the authors and other experts in recent years. T...

Πίνακας περιεχομένων:

• Introduction
• Some preliminaries
• Cowen-Thomson's theorem
• Reducing subspaces associated eith finite Blaschke products
• Reducing subspaces associated with thin Blaschke products
• Covering maps and von Neumann algebras
• Operator-theoretic aspect on von Neumann algebras
• Similarity and unitary equivalence.