Topological structure of the space of composition operators onH∞
- Cite this article as:
- Maccler, B., Ohno, S. & Zhao, R. Integr equ oper theory (2001) 40: 481. doi:10.1007/BF01198142
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Components and isolated points of the topological space of composition operators onH∞ in the uniform operator topology are characterized. Compact differences of two composition operators are also characterized. With the aid of these results, we show that a component inC(H∞) is not in general the set of all composition operators that differ from the given one by a compact operator.