Measure and integration Measures Concept
Finite measure
Summary
A finite measure is a measure that gives the whole space a finite value. Every measurable set then has finite measure. Probability measures are the finite measures of total mass , and every nonzero finite measure is a multiple of a probability measure.
Where this leads
8 pages build on this one.
Further reading
About this page
| Tag | 63Z1Q4FS23 |
|---|---|
| URI | m2://63Z1Q4FS23 |
| Kind | concept |
| Writing | W0 stub |
| MSC | 28A12 |
| Specializes | Measure |
| Same as | |
| Changed | 2 November 2026 |
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Used by
- S-finite measure
- Egorov's theorem
- Vitali convergence theorem
- Sigma-finite measure
- Uniform integrability
- Vitali–Hahn–Saks theorem
- Dunford–Pettis theorem
- Poincaré recurrence theorem