Boundary of Polyhedral Spaces: an Alternative Proof
- Autores: Libor Veselý
- Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 15, Nº 1, 2000, págs. 213-218
- Idioma: inglés
- Títulos paralelos:
- Límite de espacios poliédricos: una prueba alternativa
- Enlaces
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Resumen
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.
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