|
gptkbp:instanceOf
|
gptkb:Vector
gptkb:mathematical_concept
gptkb:inner_product_space
|
|
gptkbp:characterizedBy
|
complete inner product
|
|
gptkbp:dimensions
|
infinite
finite
|
|
gptkbp:example
|
gptkb:L2_space
gptkb:finite-dimensional_Euclidean_space
gptkb:sequence_space_l2
|
|
gptkbp:generalizes
|
gptkb:Euclidean_space
|
|
gptkbp:hasProperty
|
gptkb:Hilbert_space
gptkb:parallelogram_law
gptkb:Pythagorean_theorem
gptkb:Riesz_representation_theorem
orthonormal basis
projection theorem
separability
reflexivity
|
|
gptkbp:namedAfter
|
gptkb:David_Hilbert
|
|
gptkbp:relatedTo
|
gptkb:spectral_theorem
gptkb:Banach_spaces
gptkb:pre-Hilbert_space
gptkb:self-adjoint_operator
gptkb:unitary_operator
Fourier analysis
orthogonal projection
|
|
gptkbp:studiedBy
|
gptkb:mathematician
|
|
gptkbp:usedIn
|
gptkb:signal_processing
functional analysis
quantum mechanics
|
|
gptkbp:bfsParent
|
gptkb:Cauchy-Schwarz_inequality
gptkb:Cauchy–Schwarz_inequality
gptkb:Lax–Milgram_theorem
gptkb:Riesz_representation_theorem
gptkb:Real_number
|
|
gptkbp:bfsLayer
|
6
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Hilbert spaces
|