Lebesgue decomposition theorem
GPTKB entity
Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
σ-finite measures
|
| gptkbp:describes |
decomposition of one measure with respect to another
|
| gptkbp:field |
measure theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Lebesgue decomposition theorem
|
| gptkbp:introducedIn |
20th century
|
| gptkbp:namedAfter |
gptkb:Henri_Lebesgue
|
| gptkbp:relatedTo |
gptkb:Radon–Nikodym_theorem
absolutely continuous measure singular measure |
| gptkbp:state |
any σ-finite measure can be decomposed into absolutely continuous and singular parts with respect to another measure
|
| gptkbp:bfsParent |
gptkb:Radon–Nikodym_theorem
|
| gptkbp:bfsLayer |
7
|