D的H ∞的紧自同态
Compact endomorphisms of H infinity of D
摘要：
当G是复平面上的一个区域时，D.张文，B（D）上的紧致复合算子，中国数学会论文集（1976）。本文刻画了开单位圆盘上有界解析函数的一致代数上的所有紧自同态，并确定了它们的谱.该研究得到了EPSRC基金GR/M31132的支持。
英文摘要：
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
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