Sobre el teorema de interpolación de borel en espacios de hilbert
Let X be a real Hilbert space. If Ao is a real number and Am is a real symmetric and continuous m-form defined on Xm, m = 1, 2, ... , we construct a real function j on X of class C∞ such that f(m) is bounded in the bounded sets of X, f(m)(0) = Am, m = 0, 1, 2, ... , and f is analytic in X\{0}.
- Autores:
-
Valdivia, Manuel
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 1993
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/43632
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/43632
http://bdigital.unal.edu.co/33730/
- Palabra clave:
- Teorema
Borel
Hlbert
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | Let X be a real Hilbert space. If Ao is a real number and Am is a real symmetric and continuous m-form defined on Xm, m = 1, 2, ... , we construct a real function j on X of class C∞ such that f(m) is bounded in the bounded sets of X, f(m)(0) = Am, m = 0, 1, 2, ... , and f is analytic in X\{0}. |
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