Consider the linear semidefinite optimization problem (where denotes the Löwner partial ordering). Give the corresponding dual problem and show that the extremal values of the primal and dual problem...

Consider the linear semidefinite optimization problem

(where denotes the Löwner partial ordering). Give the corresponding dual

problem and show that the extremal values of the primal and dual problem are

not equal. Why is Theorem 7.12 not applicable?