Properties (54)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
metric space
|
| gptkbp:field |
finite dimensional
infinite dimensional |
| gptkbp:hasSpecialty |
convex
complete bounded |
| https://www.w3.org/2000/01/rdf-schema#label |
Hilbert's metric space
|
| gptkbp:isAvenueFor |
computer science
data analysis geometry machine learning optimization |
| gptkbp:isCharacterizedBy |
Fourier series
inner product Cauchy sequences sequential compactness topological vector space linear operators finite-dimensional spaces Banach space L2 space inner product space norm orthonormal basis self-adjoint operators dual space weak convergence orthogonality bounded linear operators compact operators functional calculus Riesz lemma boundedness of operators closure of a set closure property norm topology projection theorem spectral theorem strong convergence strong topology uniform boundedness principle weak topology weak* convergence Banach-Alaoglu_theorem Bessel's_inequality Hahn-Banach_theorem Hilbert_space_isomorphism Hilbert_transform Parseval's_identity Riesz_representation_theorem |
| gptkbp:isCitedBy |
distance function
|
| gptkbp:isNamedAfter |
gptkb:David_Hilbert
|
| gptkbp:isRelatedTo |
gptkb:Hilbert_space
|
| gptkbp:isUsedIn |
functional analysis
|