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

Djabbarov, Gayratbay

Topology Appl. 221, 133-143 (2017).

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.

Reviewer: S. S. Kutateladze (Novosibirsk)

MSC:

46A55

Convex sets in topological linear spaces; Choquet theory

Keywords:

weakly additive functional; Kantorovich-Rubinstein metric; seminormal functor

References:

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