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Statements (31)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Hermitian_matrices
compact operators self-adjoint operators unitary operators normal operators |
| gptkbp:field |
functional analysis
linear algebra |
| gptkbp:firstPublished |
early 20th century
|
| gptkbp:generalizes |
functional calculus
spectral decomposition spectral measure |
| https://www.w3.org/2000/01/rdf-schema#label |
spectral theorem
|
| gptkbp:languageOfStatement |
linear operators
matrix theory |
| gptkbp:provenBy |
gptkb:David_Hilbert
gptkb:John_von_Neumann |
| gptkbp:relatedTo |
gptkb:Hilbert_space
diagonalization eigenvalues eigenvectors orthogonal matrices unitary matrices |
| gptkbp:state |
normal matrices can be diagonalized by a unitary matrix
self-adjoint operators have a spectral decomposition |
| gptkbp:usedIn |
gptkb:signal_processing
operator theory partial differential equations quantum mechanics |
| gptkbp:bfsParent |
gptkb:Hilbert_space
|
| gptkbp:bfsLayer |
4
|