TY - BOOK AU - Guo,Kunyu AU - Huang,Hansong ED - SpringerLink (Online service) TI - Multiplication Operators on the Bergman Space T2 - Lecture Notes in Mathematics, SN - 9783662468456 AV - QA329-329.9 U1 - 515.724 23 PY - 2015/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg, Imprint: Springer KW - Operator theory KW - Functional analysis KW - Operator Theory KW - Functional Analysis N1 - 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 N2 - 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 UR - https://doi.org/10.1007/978-3-662-46845-6 ER -