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Dominated extensions of functionals and V-convex functions of cancellative cones

Published online by Cambridge University Press:  17 April 2009

S. Romaguera
Affiliation:
Escuela de Caminos, Departamento de Matemática Aplicada, Universidad Politécnica de Valencia, 46071 Valencia, Spain, e-mail: sromague@mat.upv.es, easancpe@mat.upv.es, ovalero@mat.upv.es
E. A. Sánchez Pérez
Affiliation:
Escuela de Caminos, Departamento de Matemática Aplicada, Universidad Politécnica de Valencia, 46071 Valencia, Spain, e-mail: sromague@mat.upv.es, easancpe@mat.upv.es, ovalero@mat.upv.es
O. Valero
Affiliation:
Escuela de Caminos, Departamento de Matemática Aplicada, Universidad Politécnica de Valencia, 46071 Valencia, Spain, e-mail: sromague@mat.upv.es, easancpe@mat.upv.es, ovalero@mat.upv.es
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Abstract

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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: CR+ 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.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2003

References

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