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Isolated points and essential components of composition operators on đ»^{∞}

  • Hosokawa T
  • Izuchi K
  • Zheng D
Proceedings of the American Mathematical Society (2001) 130(6) 1765-1773
DOI: 10.1090/s0002-9939-01-06233-5
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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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Hosokawa, T., Izuchi, K., & Zheng, D. (2001). Isolated points and essential components of composition operators on đ»^{∞}. Proceedings of the American Mathematical Society, 130(6), 1765–1773. https://doi.org/10.1090/s0002-9939-01-06233-5

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