Abstract
For let denote the Fréchet algebra of all holomorphic functions on the unit disk for which . Given a holomorphic self-map of define the composition operator on by: . This note shows that exists always as a continuous operator. Furthermore, this note points out that boundedness and compactness of are not only the same, but also equivalent to in for some .
Funding Statement
This project was supported by the Alexander von Humboldt Foundation, Germany.
Citation
Jie Xiao. "TOPOLOGICAL PROPERTIES OF COMPOSITION OPERATORS ON SOME FRÉCHET ALGEBRA." SUT J. Math. 35 (2) 239 - 245, June 1999. https://doi.org/10.55937/sut/991985505
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