L∞ space

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf gptkb:Hilbert_space
function space
gptkbp:alsoKnownAs gptkb:L-infinity_space
essentially bounded functions space
gptkbp:complete true
gptkbp:contains essentially bounded measurable functions
gptkbp:definedIn measure space
gptkbp:dualSpaceOf gptkb:L1_space
https://www.w3.org/2000/01/rdf-schema#label L∞ space
gptkbp:normFormula ||f||∞ = ess sup |f|
gptkbp:normType essential supremum norm
gptkbp:partOf gptkb:Lp_spaces
gptkbp:symbol L∞
gptkbp:usedIn gptkb:probability_theory
functional analysis
measure theory
gptkbp:bfsParent gptkb:Lp_space
gptkbp:bfsLayer 6