Normal operator
In mathematics, especially functional analysis, a normal operator on a complex Hilbert space H is a continuous linear operator N : H → H that commutes with its hermitian adjoint N*, that is: NN* = N*N. Normal operators are important because the spectral theorem holds for them. The class of normal operators is well understood. Examples of normal operators are
* unitary operators: N* = N−1
* Hermitian operators (i.e., self-adjoint operators): N* = N
* Skew-Hermitian operators: N* = −N
* positive operators: N = MM* for some M (so N is self-adjoint).
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Normal operator
In mathematics, especially functional analysis, a normal operator on a complex Hilbert space H is a continuous linear operator N : H → H that commutes with its hermitian adjoint N*, that is: NN* = N*N. Normal operators are important because the spectral theorem holds for them. The class of normal operators is well understood. Examples of normal operators are
* unitary operators: N* = N−1
* Hermitian operators (i.e., self-adjoint operators): N* = N
* Skew-Hermitian operators: N* = −N
* positive operators: N = MM* for some M (so N is self-adjoint).
has abstract
Em matemática, sobretudo na an ...... al se e somente se para todo .
@pt
En matemáticas, especialmente ...... l en el espacio de Hilbert Cn.
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In de functionaalanalyse, een ...... rtruimte als zijnde beschouwd.
@nl
In matematica, in particolare ...... Hilbert è una matrice normale.
@it
In mathematics, especially fun ...... rator on the Hilbert space Cn.
@en
Operator normalny – operator l ...... ry A nazywa się normalnym, gdy
@pl
Un endomorphisme normal est un ...... qui commute avec son adjoint.
@fr
Нормальный оператор — линейный ...... олняется спектральная теорема.
@ru
在数学中，尤其是泛函分析领域，一个复希尔伯特空间上的正规算子（英語：normal operator），是一个与其埃尔米特伴随可交换的连续线性算子，即。
@zh
数学の特に函数解析学における正規作用素（せいきさようそ、英: ...... えるヒルベルト空間が Cn のときの正規作用素と考えられる。
@ja
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994,127,517
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date
May 2015
@en
reason
Normal operators were not defi ...... r and perhaps should be given.
@en
The link only defines numerical radius for n x n matrices.
@en
This follows from a well-known and useful theorem that deserves a link.
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Em matemática, sobretudo na an ...... al se e somente se para todo .
@pt
En matemáticas, especialmente ...... l en el espacio de Hilbert Cn.
@es
In de functionaalanalyse, een ...... en van normale operatoren zijn
@nl
In matematica, in particolare ...... Hilbert è una matrice normale.
@it
In mathematics, especially fun ...... some M (so N is self-adjoint).
@en
Operator normalny – operator l ...... ry A nazywa się normalnym, gdy
@pl
Un endomorphisme normal est un ...... qui commute avec son adjoint.
@fr
Нормальный оператор — линейный ...... олняется спектральная теорема.
@ru
在数学中，尤其是泛函分析领域，一个复希尔伯特空间上的正规算子（英語：normal operator），是一个与其埃尔米特伴随可交换的连续线性算子，即。
@zh
数学の特に函数解析学における正規作用素（せいきさようそ、英: ...... えるヒルベルト空間が Cn のときの正規作用素と考えられる。
@ja
label
Endomorphisme normal
@fr
Normal operator
@en
Normale operator
@nl
Normaler Operator
@de
Operador Normal
@es
Operador normal
@pt
Operator normalny
@pl
Operatore normale
@it
Нормальный оператор
@ru
正規作用素
@ja