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Dominated extensions of functionals and V-convex functions of cancellative cones
Published online by Cambridge University Press: 17 April 2009
Abstract
Let C be a cancellative cone and consider a subcone C0 of C. We study the natural problem of obtaining conditions on a non negative homogeneous function φ: C → R+ so that for each linear functional f defined in C0 which is bounded by φ, there exists a linear extension to C. In order to do this we assume several geometric conditions for cones related to the existence of special algebraic basis of the linear span of these cones.
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- Copyright © Australian Mathematical Society 2003
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