Maharam's theorem

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English

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Etymology

The theorem is due to Dorothy Maharam.

Proper noun

Maharam's theorem

  1. (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 on the reals), and "purely atomic parts", using the counting measure on some discrete space.