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σ-finite measure

Definition of the noun σ-finite measure

What does σ-finite measure mean as a name of something?


  1. [analysis] [context: of a set in a measurable space] That it is expressible as a countable union of sets of finite measure.


σ-finite measure: In mathematics, a positive measure μ defined on a σ-algebra Σ of subsets of a set X is called finite if μ is a finite real number. The measure μ is called σ-finite if X is the countable union of measurable sets with finite measure. A set in a measure space is said to have σ-finite measure if it is a countable union of sets with finite measure.

  • also known as Σ-finite measure

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