en

Self-adjoints

ru

Translation of "self-adjoints" into Russian

self-adjoint
Noun
self-adjoints pl
raiting
self-adjoint
self-adjoints pl
Occasionally used as a noun in mathematics to mean ‘self-adjoint operator’.
математика; субстантивированное прилагательное, означает самосопряжённый оператор
A bounded self-adjoint on an infinite-dimensional Hilbert space can be diagonalised.
Ограниченный самосопряжённый на бесконечномерном гильбертовом пространстве может быть диагонализован.

Definitions

self-adjoint
Noun
raiting
(mathematics) A linear operator that is self-adjoint.
A bounded self-adjoint on an infinite-dimensional Hilbert space can be diagonalised.
selfadjoint
Adjective
raiting
In mathematics, particularly in linear algebra and functional analysis, an operator or matrix that is equal to its own adjoint or Hermitian conjugate.
The matrix is selfadjoint, meaning it is equal to its own conjugate transpose.
self-adjoint
Adjective
raiting
(mathematics) Equal to its own adjoint; possessing the property that ⟨Tx, y⟩ = ⟨x, Ty⟩ for all vectors x, y (i.e., Hermitian).
Every self-adjoint operator on a Hilbert space has a real spectrum.