Topological structure in the space of (weighted) composition operators on weighted Banach spaces of holomorphic functions

• Main Authors: Abanin, Alexander V., Khoi, Le Hai, Tien, Pham Trong
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2021
• Subjects: Science::Mathematics; Topological Structure; Composition Operator
• Online Access: https://hdl.handle.net/10356/150814
• Institution: Nanyang Technological University

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 ope...