spectral theorem

GPTKB entity

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