Statements (33)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Hilbert_space
|
| gptkbp:dimensions |
can be finite or infinite
|
| gptkbp:example |
gptkb:Euclidean_space
gptkb:L2_space gptkb:Hardy_space gptkb:Sobolev_space l2 space |
| gptkbp:hasApplication |
gptkb:machine_learning
gptkb:signal_processing functional analysis quantum mechanics statistics |
| gptkbp:hasInnerProduct |
yes
|
| gptkbp:hasNormInducedBy |
inner product
|
| gptkbp:hasOrthonormalBasis |
yes
|
| gptkbp:hasSpecialCase |
gptkb:Lp_space
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hilbert space (for p=2)
|
| gptkbp:isA |
gptkb:Hilbert_space
inner product space complete metric space |
| gptkbp:isSeparable |
can be separable or non-separable
|
| gptkbp:namedAfter |
gptkb:David_Hilbert
|
| gptkbp:numberOfIssues |
yes
|
| gptkbp:pValue |
2
|
| gptkbp:usedFor |
gptkb:probability_theory
Fourier analysis operator theory partial differential equations spectral theory reproducing kernel Hilbert space theory |
| gptkbp:bfsParent |
gptkb:Lebesgue_space
gptkb:Sobolev_space |
| gptkbp:bfsLayer |
6
|