finite-dimensional Hilbert space
GPTKB entity
Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Hilbert_space
gptkb:mathematical_concept |
| gptkbp:application |
gptkb:quantum_information_theory
functional analysis quantum mechanics linear algebra |
| gptkbp:completeWithRespectTo |
norm induced by inner product
|
| gptkbp:dimensions |
finite
|
| gptkbp:field |
complex numbers
real numbers |
| gptkbp:hasOrthonormalBasis |
true
|
| gptkbp:hasSubgroup |
gptkb:Hilbert_space
|
| https://www.w3.org/2000/01/rdf-schema#label |
finite-dimensional Hilbert space
|
| gptkbp:isomorphicTo |
gptkb:Euclidean_space
complex Euclidean space |
| gptkbp:property |
all norms are equivalent
dual space is isomorphic to itself every linear operator is bounded every subspace is closed |
| gptkbp:structure |
gptkb:Vector
inner product space |
| gptkbp:bfsParent |
gptkb:Hilbert_space
|
| gptkbp:bfsLayer |
4
|