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gptkbp:instanceOf
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gptkb:Vector
gptkb:mathematical_concept
inner product space
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gptkbp:characterizedBy
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complete inner product
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gptkbp:dimensions
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infinite
finite
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gptkbp:example
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gptkb:L2_space
gptkb:finite-dimensional_Euclidean_space
gptkb:sequence_space_l2
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gptkbp:generalizes
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gptkb:Euclidean_space
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gptkbp:hasProperty
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gptkb:Hilbert_space
gptkb:parallelogram_law
gptkb:Pythagorean_theorem
gptkb:Riesz_representation_theorem
orthonormal basis
projection theorem
separability
reflexivity
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|
https://www.w3.org/2000/01/rdf-schema#label
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Hilbert spaces
|
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gptkbp:namedAfter
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gptkb:David_Hilbert
|
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gptkbp:relatedTo
|
gptkb:spectral_theorem
gptkb:Banach_spaces
gptkb:pre-Hilbert_space
gptkb:self-adjoint_operator
gptkb:unitary_operator
Fourier analysis
orthogonal projection
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gptkbp:studiedBy
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gptkb:mathematician
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gptkbp:usedIn
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gptkb:signal_processing
functional analysis
quantum mechanics
|
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gptkbp:bfsParent
|
gptkb:Cauchy-Schwarz_inequality
gptkb:Real_Analysis:_Measure_Theory,_Integration,_and_Hilbert_Spaces
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gptkbp:bfsLayer
|
5
|