Smooth functions with uncountably many zeros
In this short note we show that there exist uncountably generated algebras every non-zero element of which is a smooth function having uncountably 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: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/34624 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/34624 |
| Access Level: | acceso abierto |
| Palabra clave: | 517.98 Lineability Spaceability Algebrability Zero set Análisis funcional y teoría de operadores |
| Sumario: | In this short note we show that there exist uncountably generated algebras every non-zero element of which is a smooth function having uncountably many zeros. This result complements some recent ones by Enflo et al. [7, 9]. |
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