Composition Operators on Spaces of Analytic Functions

The study of composition operators lies at the interface of analytic function theory and operator theory

List of contents

Introduction Analysis Background A Menagerie of Spaces Some Theorems on Integration Geometric Function Theory in the Disk Iteration of Functions in the Disk The Automorphisms of the Ball Julia-Caratheodory Theory in the Ball Norms Boundedness in Classical Spaces on the Disk Compactness and Essential Norms in Classical Spaces on the Disk Hilbert-Schmidt Operators Composition Operators with Closed Range Boundedness on Hp (BN) Small Spaces Compactness on Small Spaces Boundedness on Small Spaces Large Spaces Boundedness on Large Spaces Compactness on Large Spaces Hilbert-Schmidt Operators Special Results for Several Variables Compactness Revisited Wogen's Theorem Spectral Properties Introduction Invertible Operators on the Classical Spaces on the Disk Invertible Operators on the Classical Spaces on the Ball Spectra of Compact Composition Operators Spectra: Boundary Fixed Point, j'(a).

About the author

Carl C. Cowen Jr.

Summary

The study of composition operators lies at the interface of analytic function theory and operator theory

Product details

• Authors: Carl C. Cowen, Jr. Cowen, Carl C. Cowen Jr., Barbara D. MacCluer, Barbara I. MacCluer, MacCluer Barbara I.
• Assisted by: Steven G. Krantz (Editor of the series)
• Publisher: Taylor and Francis
• Languages: English
• Product format: Hardback
• Released: 27.04.1995
• EAN: 9780849384929
• ISBN: 978-0-8493-8492-9
• No. of pages: 400
• Weight: 771 g
• Series: Studies in Advanced Mathematics; Studies in Advanced Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous; MATHEMATICS / Functional Analysis, Functional analysis & transforms, Functional analysis and transforms