Statements (21)
Predicate | Object |
---|---|
gptkbp:instanceOf |
function space
|
gptkbp:alsoKnownAs |
space of essentially bounded measurable functions on ℝ^n
|
gptkbp:category |
functional analysis
measure theory |
gptkbp:contains |
essentially bounded measurable functions
bounded measurable functions |
gptkbp:definedIn |
ℝ^n
|
gptkbp:fieldOfScalars |
ℂ
ℝ |
gptkbp:hasSubgroup |
measurable functions on ℝ^n
|
https://www.w3.org/2000/01/rdf-schema#label |
L^∞(ℝ^n)
|
gptkbp:isBanachSpace |
true
|
gptkbp:isDualSpaceOf |
L^1(ℝ^n)
|
gptkbp:isNormedSpace |
true
|
gptkbp:isVectorSpace |
true
|
gptkbp:measureUsed |
Lebesgue measure
|
gptkbp:norm |
essential supremum norm
|
gptkbp:notation |
gptkb:L^∞(ℝ^n)
|
gptkbp:numberOfIssues |
true
|
gptkbp:bfsParent |
gptkb:BMO(ℝ^n)
|
gptkbp:bfsLayer |
8
|