Dominated extensions of functionals andV-convex functions of cancellative cones
Copyright policy )Dominated extensions of functionals andV-convex functions of cancellative cones
LetCbe a cancellative cone and consider a subconeC0ofC. We study the natural problem of obtaining conditions on a non negative homogeneous function φ:C→R+so that for each linear functionalfdefined inC0which is bounded by φ, there exists a linear extension toC. 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.
Connections of general topology with other structures, applications, Theorems of Hahn-Banach type; extension and lifting of functionals and operators, Hahn-Banach extensions
Connections of general topology with other structures, applications, Theorems of Hahn-Banach type; extension and lifting of functionals and operators, Hahn-Banach extensions
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