Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb: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
|
| 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
|
| https://www.w3.org/2000/01/rdf-schema#label |
L^∞(ℝ^n)
|