1st Edition

Handbook of Analytic Operator Theory

Edited By Kehe Zhu Copyright 2019
370 Pages 14 B/W Illustrations
by Chapman & Hall

368 Pages 14 B/W Illustrations
by Chapman & Hall

368 Pages 14 B/W Illustrations
by Chapman & Hall

Handbook of Analytic Operator Theory  thoroughly covers the subject of holomorphic function spaces and operators acting on them. The spaces covered include Bergman spaces, Hardy spaces, Fock spaces and the Drury-Averson space.  Operators discussed in the book include Toeplitz operators, Hankel operators, composition operators, and Cowen-Douglas class operators. The volume... Read more
 The Drury Arveson space and related operator theory. The Dirichlet space and related operator theory. Fock spaces and related operator theory. The Hardy space of the bi-disk and related operator theory. Toeplitz operators on the Bergman space. Hankel operators on the Bergman space. Bounded symmetric domains and Toeplitz operators. Composition operators. Operators in Cowen-Douglas classes. Invariant subspaces of the Bergman space. Mobius invariant Qp and Qk spaces. Spaces of Dirichlet series and related operator theory. The corona problem and related function/operator theory

Biography

Kehe Zhu is professor of mathematics at the State University of New York at Albany. His research areas are complex analysis, functional analysis, and operator theory. He has published over 110 papers in leading research journals in mathematics. He has also published several books including Theory of Bergman Spaces, Spaces of Holomorphic Functions in the Unit Ball, Analysis on Fock Spaces, Mobius Invariant Qk Spaces, Operator Theory in Function Spaces, and An Introduction to Operator Algebras (CRC Press).