Riesz representation theorem for measures
GPTKB entity
Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
locally compact Hausdorff spaces
|
| gptkbp:describes |
representation of linear functionals on spaces of continuous functions
|
| gptkbp:field |
functional analysis
measure theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Riesz representation theorem for measures
|
| gptkbp:namedAfter |
gptkb:Frigyes_Riesz
|
| gptkbp:relatedTo |
gptkb:Riesz_representation_theorem_for_Hilbert_spaces
|
| gptkbp:state |
Every continuous linear functional on the space of continuous functions with compact support can be represented as an integral with respect to a regular Borel measure
|
| gptkbp:usedIn |
gptkb:probability_theory
harmonic analysis potential theory |
| gptkbp:yearProposed |
1909
|
| gptkbp:bfsParent |
gptkb:Riesz_representation_theorem
|
| gptkbp:bfsLayer |
6
|