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  • 标题:Weak Compactness and Control Measures in the Space of Unbounded Measures
  • 本地全文:下载
  • 作者:James K. Brooks ; Nicolae Dinculeanu
  • 期刊名称:Proceedings of the National Academy of Sciences
  • 印刷版ISSN:0027-8424
  • 电子版ISSN:1091-6490
  • 出版年度:1972
  • 卷号:69
  • 期号:5
  • 页码:1083-1085
  • DOI:10.1073/pnas.69.5.1083
  • 语种:English
  • 出版社:The National Academy of Sciences of the United States of America
  • 摘要:We present a synthesis theorem for a family of locally equivalent measures defined on a ring of sets. This theorem is then used to exhibit a control measure for weakly compact sets of unbounded measures. In addition, the existence of a local control measure for locally strongly bounded vector measures is proved by means of the synthesis theorem.
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