Spectral Theorem
Let 
be a Hilbert Space, 
the set of Bounded linear operators from to itself, and 
theSpectrum of 
. Then if 
and is normal, there exists aunique resolution of the identity 
on the Borel subsets of which satisfies
Furthermore, every projection
Commutes with every 
which Commutes with .
References
Rudin, W. Theorem 12.23 in Functional Analysis, 2nd ed. New York: McGraw-Hill, 1991.
- Reeb Foliation
- Reef Knot
- Re-Entrant Circuit
- Refinement
- Reflection
- Reflection Property
- Reflection Relation
- Reflexible
- Reflexible Map
- Reflexive Closure
- Reflexive Graph
- Reflexive Reduction
- Reflexive Relation
- Reflexivity
- Region
- Regression
- Regression Coefficient
- Regula Falsi
- Regular Function
- Regular Graph
- Regular Isotopy
- Regular Isotopy Invariant
- Regularity Theorem
- Regularized Beta Function
- Regularized Gamma Function