Riesz–Markov–Kakutani representation theorem
GPTKB entity
Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
locally compact Hausdorff spaces
|
| gptkbp:describes |
representation of positive linear functionals on spaces of continuous functions
|
| gptkbp:field |
functional analysis
measure theory |
| gptkbp:generalizes |
gptkb:Riesz_representation_theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
Riesz–Markov–Kakutani representation theorem
|
| gptkbp:namedAfter |
gptkb:Shizuo_Kakutani
gptkb:Andrey_Markov gptkb:Frigyes_Riesz |
| gptkbp:state |
Every positive linear functional on C_c(X) is given by integration with respect to a unique regular Borel measure
|
| gptkbp:usedIn |
gptkb:probability_theory
operator theory spectral theory |
| gptkbp:yearProved |
1941
|
| gptkbp:bfsParent |
gptkb:Frigyes_Riesz
|
| gptkbp:bfsLayer |
5
|