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Isolated points and essential components of composition operators on |
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| Authors: | Takuya Hosokawa Keiji Izuchi Dechao Zheng |
| Affiliation: | Department of Mathematics, Niigata University, Niigata, 950-2181, Japan Keiji Izuchi ; Department of Mathematics, Niigata University, Niigata, 950-2181, Japan ; Mathematics Department, Vanderbilt University, Nashville, Tennessee 37240 |
| Abstract: | We consider the topological space of all composition operators on the Banach algebra of bounded analytic functions on the unit disk. We obtain a function theoretic characterization of isolated points and show that each isolated composition operator is essentially isolated. |
| Keywords: | Composition operators asymptotically interpolating sequences |
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