Extension of polynomials and John's theorem for symmetric tensor products.
We show that for every infinite-dimensional normed space E and every k ≥ 3 there are extendible k-homogeneous polynomials which are not integral. As a consequence, we prove a symmetric version of a result of John.
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2007 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/125494 |
| Acceso en línea: | http://hdl.handle.net/11336/125494 |
| Access Level: | acceso abierto |
| Palabra clave: | Extendible polynomials symmetric tensor products Grothendieck's conjecture https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | We show that for every infinite-dimensional normed space E and every k ≥ 3 there are extendible k-homogeneous polynomials which are not integral. As a consequence, we prove a symmetric version of a result of John. |
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