Título inglés |
Boundary of polyhedral spaces: an alternative proof. |
Título español |
Límite de espacios poliédricos: una prueba alternativa. |
Autor/es |
Vesely, Libor |
Organización |
Dip. Mat. Univ. Studi Milano, Milán, Italia |
Revista |
0213-8743 |
Publicación |
2000, 15 (1): 213-217, 8 Ref. |
Tipo de documento |
articulo |
Idioma |
Inglés |
Resumen inglés |
A Banach space X is called polyhedral if the unit ball of each one of its finite-dimensional (equivalently: two-dimensional [6]) subspaces is a polytope. Polyhedral spaces were studied by various authors; most of the structural results are due to V. Fonf. We refer the reader to the surveys [1], [2] for other definitions of polyhedrality, main properties and bibliography. In this paper we present a short alternative proof of the basic result on the structure of the unit ball of the polyhedral space (Theorem 1) and a related Theorem 2. |
Clasificación UNESCO |
120203 |
Palabras clave español |
Espacios de Banach ; Poliedro compacto |
Código MathReviews |
MR1792990 |
Código Z-Math |
Zbl 0987.46019 |
Acceso al artículo completo |