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Pointwise sequential compactness and weak compactness in spaces of contents

โœ Scribed by Hans Weber


Book ID
112908441
Publisher
Springer Milan
Year
1985
Tongue
Italian
Weight
990 KB
Volume
34
Category
Article
ISSN
0009-725X

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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