Riesz representation theorem
GPTKB entity
Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Hilbert_spaces
|
| gptkbp:field |
functional analysis
|
| gptkbp:generalizes |
gptkb:Riesz–Markov–Kakutani_representation_theorem
|
| gptkbp:hasVersion |
gptkb:Riesz_representation_theorem_for_measures
|
| https://www.w3.org/2000/01/rdf-schema#label |
Riesz representation theorem
|
| gptkbp:namedAfter |
gptkb:Frigyes_Riesz
|
| gptkbp:relatedTo |
inner product space
dual space L^2 spaces |
| gptkbp:state |
Every continuous linear functional on a Hilbert space can be represented as an inner product with a fixed element of the space
|
| gptkbp:usedIn |
gptkb:probability_theory
gptkb:signal_processing quantum mechanics |
| gptkbp:yearProposed |
1907
|
| gptkbp:bfsParent |
gptkb:Frigyes_Riesz
gptkb:Marcell_Riesz gptkb:Marcel_Riesz |
| gptkbp:bfsLayer |
5
|