On Weak Compactness in Spaces of Measure
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Xiao-Dong Zhang
📂
Article
📅
1997
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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