Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:algebra
vector lattice |
| gptkbp:application |
gptkb:Banach_lattice_theory
measure theory |
| gptkbp:definedIn |
vector space equipped with a lattice order
|
| gptkbp:example |
L^p spaces for 1 ≤ p ≤ ∞
space of real-valued continuous functions on a compact space |
| gptkbp:field |
gptkb:mathematics
|
| gptkbp:generalizes |
real numbers as a vector lattice
|
| gptkbp:hasAxiom |
lattice operations are compatible with addition and scalar multiplication
|
| gptkbp:hasSubfield |
functional analysis
|
| https://www.w3.org/2000/01/rdf-schema#label |
Riesz space
|
| gptkbp:namedAfter |
gptkb:Frigyes_Riesz
|
| gptkbp:property |
order structure compatible with vector space operations
|
| gptkbp:relatedTo |
gptkb:Banach_lattice
ordered vector space |
| gptkbp:bfsParent |
gptkb:Frigyes_Riesz
|
| gptkbp:bfsLayer |
5
|