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Maharam's theorem

Maharam's theorem proper noun: 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.

Proper noun

Maharam's theorem

  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.

Origin of Maharam's theorem

The theorem is due to Dorothy Maharam.

Questions about Maharam's theorem

What does Maharam's theorem mean?
Maharam's theorem means 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.
What part of speech is Maharam's theorem?
Maharam's theorem is a proper noun.

Words near Maharam's theorem in the dictionary

  1. Maharal
  2. Maharal of Prague
  3. Maharam
  4. Maharam algebra
  5. Maharam algebras
  6. Maharam's theorem
  7. maharana
  8. maharanah
  9. maharanahs
  10. maharanas
  11. maharanee

Source and license

Adapted from Wiktionary: Maharam's theorem (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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