Artículo
Suárez, D. "A counterexample for H∞ approximable functions" (2000) Proceedings of the American Mathematical Society. 128(10):3003-3007
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Abstract:
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.
Registro:
| Documento: | Artículo |
| Título: | A counterexample for H∞ approximable functions |
| Autor: | Suárez, D. |
| Filiación: | Departamento de Matemática, Facultad de Cs. Exactas y Naturales, Ciudad Universitaria, 1428 Nónez, Argentina Departamento de Análisis Matemático, Universidad do La Laguna, 38271 La Laguna, Tenerife, Spain |
| Palabras clave: | Bounded analytic functions; Uniform approximation |
| Año: | 2000 |
| Volumen: | 128 |
| Número: | 10 |
| Página de inicio: | 3003 |
| Página de fin: | 3007 |
| Título revista: | Proceedings of the American Mathematical Society |
| Título revista abreviado: | Proc. Am. Math. Soc. |
| ISSN: | 00029939 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v128_n10_p3003_Suarez |
Referencias:
- Carleson, L., Interpolations by bounded analytic functions and the corona theorem (1962) Ann. of Math., 76, pp. 547-559. , MR 25:5186
- Garnett, J.B., "Bounded Analytic Functions", Academic Press, New York (1981), , MR 83g:30037
- Hoffman, K., Bounded analytic functions and Gleason parts (1967) Ann. of Math., 86, pp. 74-111. , MR 35:5945
- Stray, A., Mergelyan type theorems for some function spaces (1995) Publications Afatemàtiques, 39, pp. 61-69. , MR 96g:30067
- Suárez, F.D., Cech cohomology and covering dimension for the H∞ maximal ideal space (1994) J. Funct. Anal., 123, pp. 233-263. , MR 95g:46100
- Zhu, K., (1990) Operator Theory in Function Spaces, , Marcel Dekker, New York and Basel MR 92c:47031
Citas:
---------- APA ----------
(2000) . A counterexample for H∞ approximable functions. Proceedings of the American Mathematical Society, 128(10), 3003-3007.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v128_n10_p3003_Suarez [ ]
---------- CHICAGO ----------
Suárez, D. "A counterexample for H∞ approximable functions" . Proceedings of the American Mathematical Society 128, no. 10 (2000) : 3003-3007.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v128_n10_p3003_Suarez [ ]
---------- MLA ----------
Suárez, D. "A counterexample for H∞ approximable functions" . Proceedings of the American Mathematical Society, vol. 128, no. 10, 2000, pp. 3003-3007.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v128_n10_p3003_Suarez [ ]
---------- VANCOUVER ----------
Suárez, D. A counterexample for H∞ approximable functions. Proc. Am. Math. Soc. 2000;128(10):3003-3007.Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v128_n10_p3003_Suarez [ ]
