Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/150814
Title: Topological structure in the space of (weighted) composition operators on weighted Banach spaces of holomorphic functions
Authors: Abanin, Alexander V.
Khoi, Le Hai
Tien, Pham Trong
Keywords: Science::Mathematics
Issue Date: 2019
Source: Abanin, A. V., Khoi, L. H. & Tien, P. T. (2019). Topological structure in the space of (weighted) composition operators on weighted Banach spaces of holomorphic functions. Bulletin Des Sciences Mathematiques, 158, 102806-. https://dx.doi.org/10.1016/j.bulsci.2019.102806
Project: M4011724.110 (RG128/16)
Journal: Bulletin des Sciences Mathematiques
Abstract: We consider the topological structure problem for the space of composition operators as well as the space of weighted composition operators on weighted Banach spaces with sup-norm. For the first space, we prove that the set of all composition operators that differ from the given one by a compact operator is path connected; however, in general, it is not always a component. Furthermore, we show that the set of compact weighted composition operators is path connected, but it is not a component in the second space.
URI: https://hdl.handle.net/10356/150814
ISSN: 0007-4497
DOI: 10.1016/j.bulsci.2019.102806
Rights: © 2019 Elsevier Masson SAS. All rights reserved. This paper was published in Bulletin des Sciences Mathematiques and is made available with permission of Elsevier Masson SAS.
Fulltext Permission: embargo_20220307
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

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