Simply connected topological spaces of weighted composition operators
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Publication:2053521
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
weighted composition operatordeformation retractionsimple connectednessHilbert-Schmidt norm topologyoperator norm topology
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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