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A duality result in locally convex cones

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Abstract

In this paper, we consider a locally convex cone \(({\mathcal {P}},{\mathcal {V}})\) and verify the dual of \((Conv({\mathcal {P}}),{\overline{{\mathcal {V}}}})\) the locally convex cone of the non-empty convex subsets of \({\mathcal {P}}\). Under some semilattice conditions, we characterize the dual of \(Conv(\underbrace{\cdots }_{n\ times} (Conv({\mathcal {P}}))\).

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Correspondence to Asghar Ranjbari.

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Dastouri, A., Ranjbari, A. A duality result in locally convex cones. Positivity 26, 73 (2022). https://doi.org/10.1007/s11117-022-00935-9

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  • DOI: https://doi.org/10.1007/s11117-022-00935-9

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