Taking the conjugate transpose (or adjoint) of complex matrices generalizes complex conjugation. Even more general is the concept of adjoint operator for operators on (possibly infinite-dimensional) complex Hilbert spaces. All this is subsumed by the *-operations of C*-algebras.
taking the conjugate transpose (or adjoint) of complex matrices generalizes complex conjugation even more general is the concept of adjoint operator for operators on (possibly infinite-dimensional) complex hilbert spaces all this is subsumed by the *-operations of c*-algebras