##  [Spectral Theory](/spectral-theory) 

  ##  [Spectral Theory](https://puremath.quantumdictionary.io/spectral-theory-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The theory of decomposing linear operators through their spectrum, relating algebraic and analytic properties of operators to the distribution and structure of point spectrum (eigenvalues), continuous spectrum, and residual spectrum.