Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:algebra
|
| gptkbp:alsoKnownAs |
gptkb:Riesz_space
|
| gptkbp:application |
gptkb:probability_theory
gptkb:Banach_lattices measure theory |
| gptkbp:definedIn |
vector space equipped with a lattice order
|
| gptkbp:field |
gptkb:mathematics
|
| gptkbp:hasSubfield |
gptkb:order_theory
functional analysis |
| https://www.w3.org/2000/01/rdf-schema#label |
vector lattices
|
| gptkbp:notableExample |
sequence spaces
space of real-valued functions |
| gptkbp:notablePerson |
gptkb:Frigyes_Riesz
|
| gptkbp:property |
every pair of elements has a least upper bound and greatest lower bound
order compatible with vector space operations |
| gptkbp:relatedConcept |
gptkb:Banach_lattice
gptkb:lattice-ordered_group ordered vector space |
| gptkbp:bfsParent |
gptkb:Banach_lattice_theory
gptkb:Freudenthal_spectral_theorem |
| gptkbp:bfsLayer |
7
|