Wang Hanxing. Weak Topology on the Space of Banach Space Valued Measures on the Metric Space[J]. Acta Scientiarum Naturalium Universitatis SunYatseni, 1994,33(1):7-12.
Wang Hanxing. Weak Topology on the Space of Banach Space Valued Measures on the Metric Space[J]. Acta Scientiarum Naturalium Universitatis SunYatseni, 1994,33(1):7-12.DOI:
The properties of the weak topology on the space of Banach space valuedmeasures have been reserched. Sufficient and necessary conditions that the weak topo-logical space can be a seperable metric space
and that the weak topological space can beacompact metric space
are given respectively in theoreml and theorem 2.Similar re-sults about probability meaures are thus generalized.