Proceedings of the American Mathematical Society

Author(s): Takuya Hosokawa; Keiji Izuchi; Dechao Zheng
Journal: Proc. Amer. Math. Soc. 130 (2002), 1765-1773.
MSC (2000): Primary 47B33, 47B38
Posted: October 24, 2001
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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.

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Takuya Hosokawa
Affiliation: Department of Mathematics, Niigata University, Niigata, 950-2181, Japan

Keiji Izuchi
Affiliation: Department of Mathematics, Niigata University, Niigata, 950-2181, Japan
Email: izuchi@math.sc.niigata-u.ac.jp

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