Compact endomorphisms of H infinity of D
Functional Analysis
2007-05-23 v1
Abstract
When G is a region in the complex plane, compact composition operators on the uniform algebra of bounded analytic functions on G and the spectra of these operators were described by D. Swanton, Compact composition operators on B(D), Proc. Amer. Math. Soc. 56 (1976). In this short note we characterize all compact endomorphisms, not necessarily those induced by composition operators, on the uniform algebra of bounded analytic functions on the open unit disc, and determine their spectra. This research was supported by EPSRC grant GR/M31132
Cite
@article{arxiv.math/9810131,
title = {Compact endomorphisms of H infinity of D},
author = {J. F. Feinstein and Herbert Kamowitz},
journal= {arXiv preprint arXiv:math/9810131},
year = {2007}
}
Comments
4 pages, LaTeX