A counterexample for H∞ approximable functions
Let be the unit disk. We show that for some relatively closed set F ⊂ there is a function f that can be uniformly approximated on F by functions of H∞, but such that f cannot be written as f = h + g, with h ∈ H∞ and g uniformly continuous on F. This answers a question of Stray. © 2000 American Mathe...
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2000
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v128_n10_p3003_Suarez http://hdl.handle.net/20.500.12110/paper_00029939_v128_n10_p3003_Suarez |
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paper:paper_00029939_v128_n10_p3003_Suarez2023-06-08T14:23:24Z A counterexample for H∞ approximable functions Bounded analytic functions Uniform approximation Let be the unit disk. We show that for some relatively closed set F ⊂ there is a function f that can be uniformly approximated on F by functions of H∞, but such that f cannot be written as f = h + g, with h ∈ H∞ and g uniformly continuous on F. This answers a question of Stray. © 2000 American Mathematical Society. 2000 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v128_n10_p3003_Suarez http://hdl.handle.net/20.500.12110/paper_00029939_v128_n10_p3003_Suarez |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Bounded analytic functions Uniform approximation |
| spellingShingle |
Bounded analytic functions Uniform approximation A counterexample for H∞ approximable functions |
| topic_facet |
Bounded analytic functions Uniform approximation |
| description |
Let be the unit disk. We show that for some relatively closed set F ⊂ there is a function f that can be uniformly approximated on F by functions of H∞, but such that f cannot be written as f = h + g, with h ∈ H∞ and g uniformly continuous on F. This answers a question of Stray. © 2000 American Mathematical Society. |
| title |
A counterexample for H∞ approximable functions |
| title_short |
A counterexample for H∞ approximable functions |
| title_full |
A counterexample for H∞ approximable functions |
| title_fullStr |
A counterexample for H∞ approximable functions |
| title_full_unstemmed |
A counterexample for H∞ approximable functions |
| title_sort |
counterexample for h∞ approximable functions |
| publishDate |
2000 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v128_n10_p3003_Suarez http://hdl.handle.net/20.500.12110/paper_00029939_v128_n10_p3003_Suarez |
| _version_ |
1768544982203891712 |