Displaying similar documents to “Support results via exceptional sets in Banach spaces”

Boundary of polyhedral spaces: an alternative proof.

Libor Vesely (2000)

Extracta Mathematicae

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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...

Continuity of the visibility function.

Ana Forte Cunto (1991)

Publicacions Matemàtiques

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G. Beer defined the visibility function of a set S and proved its continuity in the interior of S. It is proved here that the visibility function of a planar Jordan domain is continuous precisely at the cone points of the boundary of S.