L^∞(ℝ^n)

GPTKB entity

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

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