Handbook of Analytic Operator Theory: 1st Edition (Hardback) book cover

Handbook of Analytic Operator Theory

1st Edition

Edited by Kehe Zhu

Chapman and Hall/CRC

384 pages | 14 B/W Illus.

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Hardback: 9781138486416
pub: 2019-06-05
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Description

This handbook concerns the subject of holomorphic function spaces and operators acting on them. Topics include Bergman spaces, Hardy spaces, Besov/Sobolev spaces, Fock spaces, and the space of Dirichlet series. Operators discussed in the book include Toeplitz operators, Hankel operators, composition operators, and Cowen-Douglas class operators

Table of Contents

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

About the Editor

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).

About the Series

CRC Press/Chapman and Hall Handbooks in Mathematics Series

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Subject Categories

BISAC Subject Codes/Headings:
MAT003000
MATHEMATICS / Applied
MAT037000
MATHEMATICS / Functional Analysis