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...

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

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...

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

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...

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

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

measure on [0, ∞). Compact operator on Hilbert space Unbounded operator Hermitian adjoint Normal operator Positive operator Helffer–Sjöstrand formula The...