l^∞ space

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:Hilbert_space
gptkb:Vector
normed space
gptkbp:alsoKnownAs space of bounded sequences
gptkbp:basisFor no countable Schauder basis
gptkbp:contains all bounded sequences
gptkbp:definedIn complex numbers
real numbers
gptkbp:dimensions infinite
gptkbp:hasDual gptkb:l^1_space
gptkbp:hasSubgroup all sequences
gptkbp:hasUnitBall compact in weak* topology
https://www.w3.org/2000/01/rdf-schema#label l^∞ space
gptkbp:isClosedUnder scalar multiplication
supremum norm
pointwise addition
gptkbp:isReflexive false
gptkbp:isSeparable false
gptkbp:normType supremum norm
gptkbp:numberOfIssues true
gptkbp:subclassOf all sequence spaces
gptkbp:bfsParent gptkb:l^p_space
gptkbp:bfsLayer 5