Topological components of the set of composition operators on \(H^\infty(B_N)\)
type: Item
instance of: scholarly article
title: Topological components of the set of composition operators on \(H^\infty(B_N)\)
zbMATH Open document ID: 1054.47021
author: Carl Toews
published in: Integral Equations and Operator Theory
publication date: 2004-03-07T00:00:00Z
review text: This paper gives a geometric condition for when two composition operators lie in the same component of \(H^{\infty}_N,\) characterizes when two composition operators have compact difference, and shows that the components under the essential operator norm coincide with those under the usual operator norm. At last, the author provides a class of examples, extensions to the Bloch space, and suggestions for further study.
Mathematics Subject Classification ID: 47B33
Mathematics Subject Classification ID: 32A35
Mathematics Subject Classification ID: 32A70
Mathematics Subject Classification ID: 46E15
zbMATH DE Number: 2051569
zbMATH Keywords: Hardy space
zbMATH Keywords: Bloch space
zbMATH Keywords: uniform algebras
zbMATH Keywords: composition operators
reviewed by: Ze-Hua Zhou
MaRDI profile type: Publication
full work available at URL: s00020-002-1180-1
OpenAlex ID: W188588436
DOI: 10.1007/S00020-002-1180-1
description: scientific article; zbMATH DE number 2051569