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