Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Vector
gptkb:mathematical_concept |
| gptkbp:canBeFiniteDimensional |
true
|
| gptkbp:canBeInfiniteDimensional |
true
|
| gptkbp:generalizes |
inner product space
|
| gptkbp:hasAxiom |
absolute scalability
positive definiteness triangle inequality |
| gptkbp:hasProperty |
gptkb:standard
|
| gptkbp:hasSpecialCase |
gptkb:Hilbert_space
topological vector space |
| gptkbp:hasTopology |
induced by norm
|
| https://www.w3.org/2000/01/rdf-schema#label |
normed vector space
|
| gptkbp:isAbelianGroupUnder |
vector addition
|
| gptkbp:isDefinedOver |
gptkb:Field
complex numbers real numbers |
| gptkbp:structure |
gptkb:topology
|
| gptkbp:usedIn |
functional analysis
mathematical analysis |
| gptkbp:bfsParent |
gptkb:Hilbert_space
|
| gptkbp:bfsLayer |
4
|