Isolated points and essential components of composition operators on 
Authors:
Takuya Hosokawa, Keiji Izuchi and Dechao Zheng
Journal:
Proc. Amer. Math. Soc. 130 (2002), 1765-1773
MSC (2000):
Primary 47B33, 47B38
DOI:
https://doi.org/10.1090/S0002-9939-01-06233-5
Published electronically:
October 24, 2001
MathSciNet review:
1887024
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
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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, Trans. Amer. Math. Soc. 282 (1984), no. 1, 33-44. 
, Indiana Univ. Math. J. 39(1990), 961-983. Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 47B33, 47B38
Retrieve articles in all journals with MSC (2000): 47B33, 47B38
Additional Information
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
Dechao Zheng
Affiliation:
Mathematics Department, Vanderbilt University, Nashville, Tennessee 37240
Email:
zheng@math.vanderbilt.edu
DOI:
https://doi.org/10.1090/S0002-9939-01-06233-5
Keywords:
Composition operators,
asymptotically interpolating sequences
Received by editor(s):
September 6, 2000
Received by editor(s) in revised form:
December 15, 2000
Published electronically:
October 24, 2001
Communicated by:
Joseph A. Ball
Article copyright:
© Copyright 2001
American Mathematical Society
