-
English
-
Russian
-
German
-
English
-
Russian
-
German
Self-adjoint
Translation of "self-adjoint" into Russian
selfadjoint
Adjectiveself-adjoint
UK
/ˌsɛlf.ədˈdʒɔɪnt/
US
/ˌsɛlf.ədˈdʒɔɪnt/
selfadjoint
self-adjoint
The operator in this equation is selfadjoint.
Оператор в этом уравнении самосопряжённый.
Definitions
self-adjoint
Noun
(mathematics) A linear operator that is self-adjoint.
A bounded self-adjoint on an infinite-dimensional Hilbert space can be diagonalised.
selfadjoint
Adjective
UK
/ˌsɛlf.ədˈdʒɔɪnt/
US
/ˌsɛlf.ədˈdʒɔɪnt/
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
(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.