## Metrization of the space of weakly additive positively-homogeneous functionals.(English)Zbl 1379.46011

The author describes an analog of the Kantorovich-Rubinstein transport metric and topological and geometric properties of weakly additive order-preserving normalized functionals. Namely he asserts that the functor of weakly additive order preserving positively homogeneous functionals is metrizable.

### MSC:

 46A55 Convex sets in topological linear spaces; Choquet theory
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### References:

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