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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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00029939_v128_n10_p3003_Suarez |
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todo:paper_00029939_v128_n10_p3003_Suarez2023-10-03T13:55:04Z A counterexample for H∞ approximable functions Suárez, D. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 Suárez, D. 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. |
| format |
JOUR |
| author |
Suárez, D. |
| author_facet |
Suárez, D. |
| author_sort |
Suárez, D. |
| 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_00029939_v128_n10_p3003_Suarez |
| work_keys_str_mv |
AT suarezd acounterexampleforhapproximablefunctions AT suarezd counterexampleforhapproximablefunctions |
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1807319633672273920 |