1998/10/21 by J. F. Feinstein, Feinstein, J. F., Herbert Kamowitz +1
Mathematics · #46J15 #47B48 #Advanced Topics in Algebra #Algebraic and Geometric Analysis #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #math.FA #msc:46J15 #msc:47B48
paper · pdf · doi:10.48550/arxiv.math/9810131
4 pages, LaTeX
arxiv created 1998/10/21 · openalex publication_date 1998/10/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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