Vol. 203, No. 2, 2002

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The essential norms and spectra of composition operators on H∞

Lixin Zheng

Vol. 203 (2002), No. 2, 503–510
Abstract

This paper gives a complete characterization of the spectra of composition operators acting on H in the case that the symbol φ has an interior fixed point. This is done after it proves that the essential norm of a composition operator acting on H is either 1 or 0.

Milestones
Received: 1 March 2000
Revised: 2 October 2000
Published: 1 April 2002
Authors
Lixin Zheng
1111 Balclutha Dr, # J204
Foster City, CA 94404