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Stability of weak convergence of measures. (Spanish) Zbl 0589.28005

In this paper it is introduced a new type of convergence, the weak convergence on every \(H\in {\mathcal H}\), for Radon measures of type (\({\mathcal H})\) on an arbitrary topological space, and its relations with the simple convergence, the simple convergence on every \(H\in {\mathcal H}\), and the weak convergence are studied. Moreover it is studied the stability of the weak convergence, and the weak convergence on every \(H\in {\mathcal H}\), for the image measure, the tensor product and the projective limit of measures.
As the authors announce in this work, the method of introduction of the weak convergence on every \(H\in {\mathcal H}\) can be extended in a similar way for more general regular measures.

MSC:

28A33 Spaces of measures, convergence of measures
46E27 Spaces of measures
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