Download or read book Commutative Algebras of Toeplitz Operators on the Bergman Space written by Nikolai Vasilevski and published by Springer Science & Business Media. This book was released on 2008-11-20 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book is devoted to the detailed study of the recently discovered commutative C*-algebras of Toeplitz operators on the Bergman space over the unit disk. Surprisingly, the key point to understanding their structure and classifying them lies in the hyperbolic geometry of the unit disk. The book develops a number of important problems whose successful solution was made possible and is based on the specific features of the Toeplitz operators from these commutative algebras.