The problem of general Radon representation for an arbitrary Hausdorff space.~II

V. K. Zakharov ; A. V. Mikhalev

Izvestiya. Mathematics , Tome 66 (2002) no. 6, pp. 1087-1101.

Résumé

The problem of general Radon representation is as follows. Given a Hausdorff topological space, find the space of linear functionals that are representable as integrals over all Radon measures. One of the possible solutions of this problem was obtained in Part I of this paper (see [39]). In Part II we establish that the classical theorems of Riesz–Radon and Prokhorov are corollaries of the theorem on general integral Radon representation proved in [39].

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