English Explanatory Dictionary

Maharam's theorem

English dictionary entry

Meanings

name
  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.

Word forms

Maharam's theorem

Etymology

The theorem is due to Dorothy Maharam.

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