Linear fractional composition operators on \(H^ 2\)
type: Item
instance of: scholarly article
title: Linear fractional composition operators on \(H^ 2\)
zbMATH Open document ID: 0638.47027
DOI: 10.1007/BF01272115
author: Carl C. Cowen
published in: Integral Equations and Operator Theory
publication date: 1988-01-01T00:00:00Z
review text: Let \(\phi\) be an analytic function mapping the unit disk D into itself. The composition operator \(C_{\phi}\) on \(H_ 2\) is defined by \(C_{\phi}f=f\circ \phi\). In this paper the author studies such composition operators when \(\phi\) is a linear fractional transformation. For example, the author considers the computation of the adjoint and the operator norm for certain such composition operators.
Mathematics Subject Classification ID: 47B38
Mathematics Subject Classification ID: 46J15
zbMATH DE Number: 4040630
zbMATH Keywords: composition operators
zbMATH Keywords: linear fractional transformation
zbMATH Keywords: computation of the adjoint
zbMATH Keywords: operator norm
reviewed by: Charles Swartz
MaRDI profile type: Publication
cites work: Spectra of Compact Composition Operators
cites work: Iteration and the Solution of Functional Equations for Functions Analytic In the Unit Disk
cites work: Q4741262
cites work: Q3222739
cites work: Subnormality and composition operators on \(H^ 2\)
cites work: Analytic Toeplitz and Composition Operators
cites work: Q5660202
cites work: Q5679336
cites work: Q3264452
cites work: The spectra of composition operators on H\(^p\)
cites work: Angular Derivatives and Compact Composition Operators on the Hardy and Bergman Spaces
cites work: Composition Operators
cites work: The essential norm of a composition operator
cites work: Q4402890
full work available at URL: https://doi.org/10.1007/bf01272115
OpenAlex ID: W2039211084
description: scientific article; zbMATH DE number 4040630