Topological Structure of the Space of Composition Operators on H^infinity

Authors

Dr. Ruhan Zhao, Kyoto University, Japan

Document Type

Presentation Abstract

Presentation Date

5-25-1999

Abstract

Components and isolated points of the topological space of composition operators on H^infinity in the uniform operator topology are characterized. Compact differences of two composition operators are also characterized. With the aid of these results, we show that a component in C(H^infinity) is not in general the set of all composition operators that differ from the given one by a compact operator.

Additional Details

Tuesday, 25 May 1999
3:10 p.m. in MA 109
Coffee/Tea/Treats 2:30 p.m. in MA 104 (Lounge)

Recommended Citation

Zhao, Dr. Ruhan, "Topological Structure of the Space of Composition Operators on H^infinity" (1999). Colloquia of the Department of Mathematical Sciences. 47.
https://scholarworks.umt.edu/mathcolloquia/47