Guo, Kunyu.
Multiplication Operators on the Bergman Space [electronic resource] / by Kunyu Guo, Hansong Huang. - 1st ed. 2015. - VIII, 322 p. 11 illus., 1 illus. in color. online resource. - Lecture Notes in Mathematics, 2145 0075-8434 ; . - Lecture Notes in Mathematics, 2145 .
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.
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.
9783662468456
10.1007/978-3-662-46845-6 doi
Operator theory.
Functional analysis.
Operator Theory.
Functional Analysis.
QA329-329.9
515.724
Multiplication Operators on the Bergman Space [electronic resource] / by Kunyu Guo, Hansong Huang. - 1st ed. 2015. - VIII, 322 p. 11 illus., 1 illus. in color. online resource. - Lecture Notes in Mathematics, 2145 0075-8434 ; . - Lecture Notes in Mathematics, 2145 .
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.
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.
9783662468456
10.1007/978-3-662-46845-6 doi
Operator theory.
Functional analysis.
Operator Theory.
Functional Analysis.
QA329-329.9
515.724