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Normal operator
In functional analysis, a normal operator on a Hilbert space H is a continuous linear operator N : H → H that commutes with its hermitian adjoint N*:
- N N* = N* N.
The main importance of this concept is that the spectral theorem applies to normal operators.
Examples of normal operators:
- unitary operators (N* = N −1)
- Hermitian operators (N* = N)
- normal matrices can be seen as normal operators if one takes the Hilbert space to be Cn.
09-23-2007 01:00:40
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The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details