11. An example of such an operator is a normal operator ( or some of its generalization ). 12. However, as noted above, the spectral theorem also holds for normal operators on a Hilbert space. 13. This makes normal operators , and normal elements of C *-algebras, more amenable to analysis. 14. Put in another way, the kernel of a normal operator is the orthogonal complement of its range. 15. However, for bounded normal operators , the orthogonal complement to a stable subspace may not be stable. 16. For naval operations the control station can be integrated into a ships normal operator consoles and combat management systems. 17. The operators a and a ^ \ dagger may be contrasted with normal operators , which commute with their adjoints. 18. Thus the normal operators is a proper subfamily of quasinormal operators, which in turn are contained by the subnormal operators. 19. Every hyponormal operator ( in particular, a subnormal operator, a quasinormal operator and a normal operator ) is paranormal. 20. The spectral theorem provides a canonical form for symmetric, unitary and more generally normal operators on finite dimensional inner product spaces.
