Geodesic
Extensions of convex functionals on convex cones
Applicationes Mathematicae, Tome 25 (1999) no. 3, pp. 381-386 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We prove that under some topological assumptions (e.g. if M has nonempty interior in X), a convex cone M in a linear topological space X is a linear subspace if and only if each convex functional on M has a convex extension on the whole space X.
DOI : 10.4064/am-25-3-381-386
Keywords: Hilbert space, convex functional, convex cone

E. Ignaczak 1 ; A. Paszkiewicz 1

1 
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E. Ignaczak; A. Paszkiewicz. Extensions of convex functionals on convex cones. Applicationes Mathematicae, Tome 25 (1999) no. 3, pp. 381-386. doi: 10.4064/am-25-3-381-386

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