Abstract:
A generalization is given of the familiar result of Philips on the nonexistence of a projector from $m$ onto $c_0$. The results obtained imply, for example, the following consequence. Ifthe Orlicz space $L_M^*\ne E_M$, there is no projector from $L_M^*$ onto $E_m$ and $E_m$ is not isomorphic to any conjugate Banach space.