Weak compactness and control measures in the space of unbounded measures.
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.
Brooks
J K
JK
Department of Mathematics, University of Florida, Gainesville, Fla. 32601.
Dinculeanu
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