Multiplication Operators on the Bergman Space

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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
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:
Διαθέσιμο Online:Full Text via HEAL-Link
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100 1 |a Guo, Kunyu.  |e author. 
245 1 0 |a Multiplication Operators on the Bergman Space  |h [electronic resource] /  |c by Kunyu Guo, Hansong Huang. 
264 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg :  |b Imprint: Springer,  |c 2015. 
300 |a VIII, 322 p. 11 illus., 1 illus. in color.  |b online resource. 
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490 1 |a Lecture Notes in Mathematics,  |x 0075-8434 ;  |v 2145 
505 0 |a 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. 
520 |a 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. The book reviews past developments and offers insights into cutting-edge developments in the study of multiplication operators. It also provides commentary and comparisons to stimulate research in this area. 
650 0 |a Mathematics. 
650 0 |a Functional analysis. 
650 0 |a Operator theory. 
650 1 4 |a Mathematics. 
650 2 4 |a Operator Theory. 
650 2 4 |a Functional Analysis. 
700 1 |a Huang, Hansong.  |e author. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783662468449 
830 0 |a Lecture Notes in Mathematics,  |x 0075-8434 ;  |v 2145 
856 4 0 |u http://dx.doi.org/10.1007/978-3-662-46845-6  |z Full Text via HEAL-Link 
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950 |a Mathematics and Statistics (Springer-11649)