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On the heredity of weak compact generating

โœ Scribed by K. John; V. Zizler


Book ID
112885233
Publisher
The Hebrew University Magnes Press
Year
1975
Tongue
English
Weight
312 KB
Volume
20
Category
Article
ISSN
0021-2172

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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