Smooth functions with uncountably many zeros
[EN] In this short note we show that there exist uncountably generated alge- bras every non-zero element of which is a smooth function having uncount- ably many zeros. This result complements some recent ones by Enflo et al. [7, 9].
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2015 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/64844 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/64844 |
| Access Level: | acceso abierto |
| Palabra clave: | Lineability Spaceability Algebrability Zero set MATEMATICA APLICADA |
| Sumario: | [EN] In this short note we show that there exist uncountably generated alge- bras every non-zero element of which is a smooth function having uncount- ably many zeros. This result complements some recent ones by Enflo et al. [7, 9]. |
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