Maharam's theorem

专有名词

英文释义

专有名词
  1. 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.

词源

The theorem is due to Dorothy Maharam.
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