Let and be paired spaces with a family of absolutely convex bounded sets of such that the sets of generate and, if , there exists a such that and . Then the dual space of is equal to the union of the weak completions of , where and .

**References**

Iyanaga, S. and Kawada, Y. (Eds.). ``Mackey's Theorem.'' §407M in
*Encyclopedic Dictionary of Mathematics.* Cambridge, MA: MIT Press, p. 1274, 1980.

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1999-05-26