Mackey's Theorem

Let E and F be paired spaces with S a family of absolutely convex bounded sets of F such that the sets of S generate F and, if B_1,B_2 in S, there exists a B_3 in S such that B_3 superset B_1 and B_3 superset B_2. Then the dual space of E_S is equal to the union of the weak completions of lambdaB, where lambda>0 and B in S.

See also

Grothendieck's Theorem

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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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Mackey's Theorem

Cite this as:

Weisstein, Eric W. "Mackey's Theorem." From MathWorld--A Wolfram Web Resource.

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