Simply connected topological spaces of weighted composition operators

DOI10.1515/MATH-2020-0082zbMath1494.47044OpenAlexW3115149114MaRDI QIDQ2053521

Biao Xu, Zhan Zhang, Ce-Zhong Tong

Publication date: 29 November 2021

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2020-0082

zbMATH Keywords

weighted composition operatordeformation retractionsimple connectednessHilbert-Schmidt norm topologyoperator norm topology

Mathematics Subject Classification ID

Hilbert spaces of continuous, differentiable or analytic functions (46E20) Linear composition operators (47B33)

Cites Work

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• The compactness of the sum of weighted composition operators on the ball algebra
• Compact differences of composition operators over polydisks
• Weighted composition operators between Hilbert spaces of analytic functions in the operator norm and Hilbert-Schmidt norm topologies
• Isolation amongst the composition operators
• Isolation and component structure in spaces of composition operators
• On the connected component of compact composition operators on the Hardy space
• Composition operators and classical function theory
• Compact differences of composition operators
• Components of linear-fractional composition operators.
• Compact differences of composition operators on the Bergman spaces over the ball
• Composition Operators Isolated in the Uniform Operator Topology
• Spaces of Holomorphic Functions in the Unit Ball

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