Weak compactness and control measures in the space of unbounded measures.

Abstract:

: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.

authors

Brooks JK,Dinculeanu N

doi

10.1073/pnas.69.5.1083

subject

Has Abstract

pub_date

1972-05-01 00:00:00

pages

1083-5

issue

5

eissn

0027-8424

issn

1091-6490

journal_volume

69

pub_type

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