Epigraphical Cones I
نویسنده
چکیده
Up to orthogonal transformation, a solid closed convex cone K in the Euclidean space Rn+1 is the epigraph of a nonnegative sublinear function f : Rn → R. This work explores the link between the geometric properties of K and the analytic properties of f . Mathematics Subject Classification: 46B10, 46B20, 52A41.
منابع مشابه
Epigraphical cones II
This is the second part of a work devoted to the theory of epigraphical cones and their applications. A convex cone K in the Euclidean space Rn+1 is an epigraphical cone if it can be represented as epigraph of a nonnegative sublinear function f : Rn → R. We explore the link between the geometric properties of K and the analytic properties of f . Mathematics Subject Classification: 46B10, 46B20,...
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