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Extremal convex sets

✍ Scribed by H. Groemer

Publisher: Springer Vienna
Year: 1983
Tongue: English
Weight: 608 KB
Volume: 96
Category: Article
ISSN: 0026-9255
DOI: 10.1007/bf01298932

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A convex subset K of a vector space E over the field of real numbers is linearly bounded (linearly closed) if every line intersects K in a bounded (closed) subset of the line. A hyperplane is the set of x ~ E that satisfy a linear equationf(x) = c, wherefis a linear functional and c is a real number