Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Hilbert_space
function space |
| gptkbp:alsoKnownAs |
gptkb:L^∞_space
essentially bounded functions space |
| gptkbp:contains |
essentially bounded measurable functions
|
| gptkbp:definedIn |
measure space
|
| gptkbp:dualPolyhedron |
gptkb:L^1_space
|
| gptkbp:generalizes |
bounded functions space
|
| https://www.w3.org/2000/01/rdf-schema#label |
L-infinity space
|
| gptkbp:introduced |
gptkb:Frigyes_Riesz
|
| gptkbp:isBanachSpace |
true
|
| gptkbp:isNotSeparable |
true
|
| gptkbp:isVectorSpace |
true
|
| gptkbp:norm |
||f||_∞ = ess sup |f|
|
| gptkbp:normType |
essential supremum norm
|
| gptkbp:numberOfIssues |
true
|
| gptkbp:subclassOf |
measurable functions
|
| gptkbp:symbol |
L^∞
|
| gptkbp:usedIn |
gptkb:probability_theory
functional analysis measure theory |
| gptkbp:bfsParent |
gptkb:L∞_space
|
| gptkbp:bfsLayer |
7
|