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On the Weak Sequential Completeness of the Spaces of Radon Measures

โœ Scribed by Daletskii, Yu. L.; Smolyanov, O. G.

Book ID
118224966
Publisher
Society for Industrial and Applied Mathematics
Year
1985
Tongue
English
Weight
741 KB
Volume
29
Category
Article
ISSN
0040-585X

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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