Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Hilbert_space
|
| gptkbp:alsoKnownAs |
gptkb:sequence_space_l2
l2 space |
| gptkbp:basisFor |
standard basis (e_n)
|
| gptkbp:complete |
true
|
| gptkbp:contains |
all square-summable sequences
|
| gptkbp:definedIn |
complex numbers
real numbers |
| gptkbp:dimensions |
countably infinite
|
| gptkbp:hasDual |
itself (self-dual)
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hilbert space l2
|
| gptkbp:importantFor |
gptkb:signal_processing
functional analysis quantum mechanics |
| gptkbp:innerProduct |
sum of products of sequence entries
|
| gptkbp:isBanachSpace |
true
|
| gptkbp:isomorphicTo |
any separable infinite-dimensional Hilbert space
|
| gptkbp:isReflexive |
true
|
| gptkbp:namedAfter |
gptkb:David_Hilbert
|
| gptkbp:norm |
square root of sum of squares
|
| gptkbp:notation |
l2
ā2 |
| gptkbp:orthonormalBasis |
standard basis (e_n)
|
| gptkbp:separates |
true
|
| gptkbp:subclassOf |
sequence space lā
|
| gptkbp:bfsParent |
gptkb:sequence_space_l2
|
| gptkbp:bfsLayer |
5
|