Geodesic
Some properties of the functor $O_\beta$
Zapiski Nauchnykh Seminarov POMI, Investigations in topology. Part 11, Tome 313 (2004), pp. 131-134

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It is proved that the space $O_\beta(X)$ of weakly additive order-preserving normed functionals with compact supports is a convex subset of the space $C_p(C_b(X))$. 
@article{ZNSL_2004_313_a1,
     author = {R. B. Beshimov},
     title = {Some properties of the functor $O_\beta$},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {131--134},
     publisher = {mathdoc},
     volume = {313},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2004_313_a1/}
}
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R. B. Beshimov. Some properties of the functor $O_\beta$. Zapiski Nauchnykh Seminarov POMI, Investigations in topology. Part 11, Tome 313 (2004), pp. 131-134. http://geodesic.mathdoc.fr/item/ZNSL_2004_313_a1/