Multiplication Operators on the Bergman Space (eBook)

Kunyu Guo, Hansong Huang (Autoren)

eBook Download: PDF

2015 | 2015
VIII, 322 Seiten
Springer Berlin (Verlag)
978-3-662-46845-6 (ISBN)

Infos

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.

Inhalt

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.

Produkt-Details

• Erscheint lt. Verlag: 23.6.2015
• Reihe/Serie: Lecture Notes in Mathematics
• Verlagsort: Berlin
• Sprache: englisch
• Schlagworte: 46E22,47C15 • Bergman space • commutant • hilbert space • multiplication operators • reducing subspaces • Von Neumann algebra
• ISBN-10: 3-662-46845-X / 366246845X
• ISBN-13: 978-3-662-46845-6 / 9783662468456