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A note on the extension of weak Radon measures on locally convex spaces to strong Radon measures. (English) Zbl 0601.46048
It is known that for a locally convex space any weak probability Radon measure may be strongly extended in a unique way. The author gives new proofs of this fact and constructs an example which emphasizes the necessity for the space to be metrizable.
Reviewer: Yu.L.Daletskij
MSC:
46G12 Measures and integration on abstract linear spaces
28C20 Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.)
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