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Minimal points of convex sets in sequence spaces

✍ Scribed by Richard Rado

Publisher: Springer-Verlag
Year: 1955
Tongue: French
Weight: 408 KB
Volume: 63
Category: Article
ISSN: 0025-5874
DOI: 10.1007/bf01187954

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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