Maharam's theorem
English
editEtymology
editThe theorem is due to Dorothy Maharam.
Proper noun
edit- (mathematics) A result about the decomposability of measure spaces, playing an important role in the theory of Banach spaces. In brief, it states that every complete measure space is decomposable into "non-atomic parts" (copies of products of the unit interval [0,1] on the reals), and "purely atomic parts", using the counting measure on some discrete space.