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Weak convergence of probability measures in spaces of smooth functions

โœ Scribed by Richard J. Wilson


Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
325 KB
Volume
23
Category
Article
ISSN
0304-4149

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On Weak Compactness in Spaces of Measure
โœ Xiao-Dong Zhang ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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