Maharam's theorem

English

The theorem is due to Dorothy Maharam.

Maharam's theorem

(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.

单词	Maharam's theorem
释义	Maharam's theorem English Etymology The theorem is due to Dorothy Maharam. Proper noun Maharam's theorem (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.
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