Titlebook: Commutative Algebras of Toeplitz Operators on the Bergman Space; Nikolai L. Vasilevski Book 2008 Birkh?user Basel 2008 Bergman space.Compl

MOCK

Toeplitz Operators on the Unit Disk with Radial Symbols,As follows, for example, from Theorem 2.8.3, the Toeplitz operator with radial defining symbols ., which is continuous at the boundary point 1, has a trivial structure, nothing but a compact perturbation of a scalar operator, .=..

雕鏤

Tdd526

Anatomy of the Algebra Generated by Toeplitz Operators with Piece-wise continuous Symbols,In this chapter we continue the study of the .-algebra generated by Toeplitz operators . with piece-wise continuous defining symbols . acting on the Bergman space (.) on the unit disk .. Our aim here is to describe explicitly each operator from this algebra and to characterize the Toeplitz operators which belong to the algebra.

知識

ALB

Prologue,not exceptional in this sense. It will be used systematically in the book and will be supplied with different adjectives clarifying its different meanings: Fredholm symbol, defining symbol, Wick symbol, anti-Wick symbol, etc. That is why we would like to comment first on its meanings and usage.

Firefly

Commutative Algebras of Toeplitz Operators,he unit disk, considered as the hyperbolic plane. Theorem 10.4.1 shows that the same classes of defining symbols generate commutative .-algebras of Toeplitz operators on . Bergman space. At the same time the principal question, .-., has remained open.

grenade

https://doi.org/10.1007/978-3-7643-8726-6Bergman space; Complex analysis; Operator algebra; Operator theory; Toeplitz operator

外來

Birkh?user Basel 2008

預定

Coma704