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A counterexample for |
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| Authors: | Daniel Suá rez |
| Affiliation: | Departamento de Matemática, Facultad de Cs. Exactas y Naturales, UBA, Pab. I, Ciudad Universitaria, (1428) Núñez, Capital Federal, Argentina |
| Abstract: | Let |
| Keywords: | Bounded analytic functions uniform approximation |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
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be the unit disk. We show that for some relatively closed set 
there is a function 
that can be uniformly approximated on 
by functions of 
, but such that 
cannot be written as 
, with 
and 
uniformly continuous on 
. This answers a question of Stray.