Normal operator information

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...

Single operator theory deals with the properties and classification of operators, considered one at a time. For example, the classification of normal operators...

perspective. Examples of operators to which the spectral theorem applies are self-adjoint operators or more generally normal operators on Hilbert spaces. The...

A^{*}A=AA^{*}.} The concept of normal matrices can be extended to normal operators on infinite-dimensional normed spaces and to normal elements in C*-algebras...

theory Normal number, a real number with a "uniform" distribution of digits Normal operator, an operator that commutes with its Hermitian adjoint Normal order...

eigenvalue. If the operator is originally given by a square matrix M, then its Jordan normal form is also called the Jordan normal form of M. Any square...

unitarily diagonalizable if and only if it is normal. A corresponding result holds for normal compact operators on Hilbert spaces. More generally, the compactness...

Creation operators and annihilation operators are mathematical operators that have widespread applications in quantum mechanics, notably in the study...

in linear algebra Normal operator in functional analysis This disambiguation page lists articles associated with the title Normal map. If an internal...

(univariate) normal distribution. The variance structure of such Gaussian random element can be described in terms of the linear covariance operator K: H →...

especially operator theory, subnormal operators are bounded operators on a Hilbert space defined by weakening the requirements for normal operators. Some examples...

In operator theory, quasinormal operators is a class of bounded operators defined by weakening the requirements of a normal operator. Every quasinormal...

analysis, a unitary operator is a surjective bounded operator on a Hilbert space that preserves the inner product. Unitary operators are usually taken as...

coincides with its numerical radius. An example of such an operator is a normal operator. The spectral radius of a finite graph is defined to be the...

annihilation operators, is usually said to be normal ordered (also called Wick order) when all creation operators are to the left of all annihilation operators in...

self-adjoint operators can usefully be thought of as operators that are "real". An element A of B(H) is called normal if A*A = AA*. Normal operators decompose...

Min-max theorem Normal vector Orthonormal basis Orthogonal complement Orthogonalization Parallelogram law Normal matrix, normal operator Orthogonal matrix...

In mathematics, the Laplace operator or Laplacian is a differential operator given by the divergence of the gradient of a scalar function on Euclidean...

{\text{ for all }}z\in H.} Normal operators A continuous linear operator A : H → H {\displaystyle A:H\to H} is called normal if A A ∗ = A ∗ A , {\displaystyle...

mathematics, especially operator theory, a paranormal operator is a generalization of a normal operator. More precisely, a bounded linear operator T on a complex...

partial differential equations, elliptic operators are differential operators that generalize the Laplace operator. They are defined by the condition that...

functional analysis and operator theory, the notion of unbounded operator provides an abstract framework for dealing with differential operators, unbounded observables...

of such an operator is a normal operator (or some of its generalization). A closely related operator is a spectraloid operator: an operator whose spectral...

mathematics, the operator norm measures the "size" of certain linear operators by assigning each a real number called its operator norm. Formally, it...