``Lebesgue measure'' on
Author: Richard Baker
Journal: Proc. Amer. Math. Soc. 113 (1991), 1023-1029
MSC: Primary 46G12; Secondary 28A35, 28C20
MathSciNet review: 1062827
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Abstract: We construct a translation invariant Borel measure on such that for any infinite-dimensional rectangle , if , then . Because is an infinite-dimensional locally convex topological vector space, the measure can not be -finite.