| 11. | Mathematicians do not generally need the full adjoint functor concept.
|
| 12. | Suppose is a compact self-adjoint operator on a Hilbert space.
|
| 13. | Let be a bounded self-adjoint operator on a Hilbert space.
|
| 14. | Again, this can be dualized for the upper adjoint.
|
| 15. | The adjoint allows us to consider whether is equal to.
|
| 16. | Self-adjoint operators are used in functional analysis and quantum mechanics.
|
| 17. | The norm of the adjoint or transpose can be computed as follows.
|
| 18. | It is therefore sometimes chosen as a definition of the adjoint operator.
|
| 19. | More precisely, Ind is the left adjoint to Res.
|
| 20. | Both " Q " and its adjoint anticommute with themselves.
|
