Weyl–von Neumann theorem

GPTKB entity

Statements (16)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo bounded self-adjoint operators
separable Hilbert spaces
gptkbp:field functional analysis
operator theory
gptkbp:generalizes gptkb:Weyl's_theorem_on_eigenvalues
https://www.w3.org/2000/01/rdf-schema#label Weyl–von Neumann theorem
gptkbp:namedAfter gptkb:Hermann_Weyl
gptkb:John_von_Neumann
gptkbp:relatedTo gptkb:spectral_theorem
compact operator
diagonal operator
gptkbp:sentence Every bounded self-adjoint operator on a separable Hilbert space is the sum of a diagonal operator and a compact operator.
gptkbp:yearProved 1930
gptkbp:bfsParent gptkb:Hermann_Weyl
gptkbp:bfsLayer 4