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A note on the -compactness of sets of probability measures on metric spaces

✍ Scribed by Luque-Vásquez, Fernando; Adolfo Minjárez-Sosa, J.


Book ID
122215707
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
353 KB
Volume
84
Category
Article
ISSN
0167-7152

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On Weak Compactness in Spaces of Measure
✍ Xiao-Dong Zhang 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 782 KB

It is proved that a weak\* compact subset A of scalar measures on a \_-algebra is weakly compact if and only if there exists a nonnegative scalar measure \* such that each measure in A is \*-continuous (such a measure \* is called a control measure for A). This result is then used to obtain a very g