Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
function space
|
| gptkbp:alsoKnownAs |
essentially bounded functions
|
| gptkbp:contains |
all essentially bounded measurable functions
|
| gptkbp:containsElement |
equivalence classes of essentially bounded measurable functions
|
| gptkbp:definedIn |
measure space (X, μ)
|
| gptkbp:dualSpaceOf |
gptkb:L^1(X,_μ)
|
| https://www.w3.org/2000/01/rdf-schema#label |
L^∞(X, μ)
|
| gptkbp:isBanachSpace |
true
|
| gptkbp:isCommutativeAlgebra |
true
|
| gptkbp:isVectorSpaceOver |
complex numbers
real numbers |
| gptkbp:norm |
essential supremum norm
|
| gptkbp:normDefinedBy |
ess sup |f(x)|
|
| gptkbp:notation |
L-infinity(X, μ)
|
| gptkbp:numberOfIssues |
true
|
| gptkbp:partOf |
gptkb:Lp_spaces
|
| gptkbp:bfsParent |
gptkb:L^∞_space
|
| gptkbp:bfsLayer |
6
|