| Título: | Geometry of Banach spaces of trinomials |
| Autores: | Muñoz-Fernández, Gustavo A. ; Seoane-Sepúlveda, Juan B. |
| Tipo de documento: | texto impreso |
| Editorial: | Academic Press, 2008-04-15 |
| Dimensiones: | application/pdf |
| Nota general: | info:eu-repo/semantics/restrictedAccess |
| Idiomas: | |
| Palabras clave: | Estado = Publicado , Materia = Ciencias: Matemáticas: Análisis funcional y teoría de operadores , Tipo = Artículo |
| Resumen: | For each pair of numbers m, n epsilon N with m > n, we consider the norm on R-3 given by parallel to(a, b, c)parallel to m,n = sup{vertical bar ax(m) +bx(n) +C vertical bar: x epsilon [-1, 1]} for every (a, b, c) epsilon R-3. We investigate some geometrical properties of these norms. We provide an explicit formula for parallel to center dot parallel to m,n, a full description of the extreme points of the corresponding unit balls and a parametrization and a plot of their unit spheres. |
| En línea: | https://eprints.ucm.es/id/eprint/17087/1/MunozFer14.pdf |
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