Path components of the space of (weighted) composition operators on Bergman spaces
type: Item
instance of: scholarly article
title: Path components of the space of (weighted) composition operators on Bergman spaces
author: Le Hai Khoi
author: Pham Trong Tien
author: Alexander V. Abanin
published in: Integral Equations and Operator Theory
publication date: 2021-05-06T00:00:00Z
review text: The paper studies the topological structure (connectedness and path connectedness to be specific) of the set of (weighted) composition operators on weighted Bergman spaces \(A^p_\alpha\) of the unit disk, where \(p>0\) and \(\alpha>-1\). A condition is found for two composition operators to be linearly connected in the set. Another result shows that the set of compact composition operators is connected but not a component.
Mathematics Subject Classification ID: 47B33
Mathematics Subject Classification ID: 30H20
Mathematics Subject Classification ID: 47B38
zbMATH DE Number: 7345250
zbMATH Keywords: composition operators
zbMATH Keywords: Bergman spaces
zbMATH Keywords: connected components
reviewed by: Kehe Zhu
MaRDI profile type: Publication
full work available at URL: s00020-020-02615-3
OpenAlex ID: W3119009337
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DOI: 10.1007/S00020-020-02615-3
description: scientific article; zbMATH DE number 7345250