# Boundary of polyhedral spaces: an alternative proof.

Extracta Mathematicae (2000)

- Volume: 15, Issue: 1, page 213-217
- ISSN: 0213-8743

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topVesely, Libor. "Boundary of polyhedral spaces: an alternative proof.." Extracta Mathematicae 15.1 (2000): 213-217. <http://eudml.org/doc/38626>.

@article{Vesely2000,

abstract = {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.},

author = {Vesely, Libor},

journal = {Extracta Mathematicae},

keywords = {Espacios de Banach; Poliedro compacto; polytope; density character; true face; boundary; polyhedral Banach space},

language = {eng},

number = {1},

pages = {213-217},

title = {Boundary of polyhedral spaces: an alternative proof.},

url = {http://eudml.org/doc/38626},

volume = {15},

year = {2000},

}

TY - JOUR

AU - Vesely, Libor

TI - Boundary of polyhedral spaces: an alternative proof.

JO - Extracta Mathematicae

PY - 2000

VL - 15

IS - 1

SP - 213

EP - 217

AB - 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.

LA - eng

KW - Espacios de Banach; Poliedro compacto; polytope; density character; true face; boundary; polyhedral Banach space

UR - http://eudml.org/doc/38626

ER -

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