Properties (57)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Mathematical Concept
|
| gptkbp:appliesTo |
Fourier Series
Wave Functions Orthogonal Projections |
| gptkbp:characterizedBy |
Completeness
Inner_Product |
| gptkbp:contains |
Vectors
Basis Subspaces |
| gptkbp:field |
Finite_or_Infinite
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hilbert Spaces
|
| gptkbp:isCharacterizedBy |
gptkb:Unitary_Operators
gptkb:Hilbert_Space_Isomorphism gptkb:Hilbert_Basis_Theorem Eigenvalues Orthogonality Eigenvectors Reflexivity Convergence Norms Compact Operators Weak Convergence Completeness Axiom Separable Spaces Closure Property Non-Separable Spaces Orthogonal Complements Spectral Measures Strong Convergence Weak Star Convergence Quantum_Entanglement Quantum_States Linear_Combinations Quantum_Superposition Quantum_Measurements Quantum_Operators Bounded_Operators Cauchy_Sequences Dual_Spaces Hilbert_Space_Embedding Self-Adjoint_Operators Unbounded_Operators |
| gptkbp:isRelatedTo |
Topology
Banach Spaces Metric_Spaces |
| gptkbp:isUsedIn |
Machine Learning
Data_Science |
| gptkbp:namedAfter |
gptkb:David_Hilbert
|
| gptkbp:relatedTo |
Functional Analysis
Linear_Algebra |
| gptkbp:supports |
gptkb:Linear_Operators
Spectral Theorem Riesz Representation Theorem Bessel's_Inequality Parseval's_Identity |
| gptkbp:usedIn |
gptkb:Quantum_Mechanics
Signal Processing |