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Weak Compactness and Control Measures in the Space of Unbounded Measures

โœ Scribed by James K. Brooks and Nicolae Dinculeanu


Book ID
123650961
Publisher
National Academy of Sciences
Year
1972
Tongue
English
Weight
420 KB
Volume
69
Category
Article
ISSN
0027-8424

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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