Commutative Algebras of Toeplitz Operators on the Bergman Space

• Main Author: Vasilevski, Nikolai L. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2008.
• Series: Operator Theory: Advances and Applications ; 185
• Subjects: Mathematics.; Functional analysis.; Functions of complex variables.; Operator theory.; Operator Theory.; Functions of a Complex Variable.; Functional Analysis.

This book is devoted to the spectral theory of commutative C*-algebras of Toeplitz operators on the Bergman space and its applications. For each such commutative algebra there is a unitary operator which reduces Toeplitz operators from this algebra to certain multiplication operators, thus providing...