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Convex Cones (Mathematics Studies)
Convex Cones (Mathematics Studies)
Date: 12 April 2011, 12:00

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The aim of this book is to outline an elementary theory of linear functional on convex cones, but convex cones are here taken in a slightly more general way than usual, they need not be imbedded in a vector space. In consequence, we do not have a general cancellation law for the addition. Typical examples for the cones we have in mind are R = R и {- <*>} or the upper semicontinuous R- valued functions on some topological space. Accordingly, linear functionals on such cones are allowed to attain values in R instead of R . This generality has advantages with respect to extensions of linear functionals.

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