Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Hilbert_space
sequence space |
| gptkbp:complete |
true
|
| gptkbp:contains |
absolutely summable sequences
|
| gptkbp:definedIn |
set of all sequences of real or complex numbers
|
| gptkbp:hasDual |
gptkb:l^∞_space
|
| gptkbp:hasSchauderBasis |
true
|
| https://www.w3.org/2000/01/rdf-schema#label |
l^1 space
|
| gptkbp:isClosedUnderAddition |
true
|
| gptkbp:isClosedUnderScalarMultiplication |
true
|
| gptkbp:isInfiniteDimensional |
true
|
| gptkbp:isNormedSpace |
true
|
| gptkbp:isReflexive |
false
|
| gptkbp:isSeparable |
true
|
| gptkbp:isVectorSpace |
true
|
| gptkbp:normDefinedBy |
sum of absolute values
|
| gptkbp:notation |
ℓ¹
|
| gptkbp:subclassOf |
gptkb:l^p_space_for_p_≥_1
|
| gptkbp:usedIn |
gptkb:probability_theory
gptkb:signal_processing functional analysis |
| gptkbp:bfsParent |
gptkb:l^p_space
|
| gptkbp:bfsLayer |
5
|