AIt's very hard to tell, at this point, given that ownership of capital is becoming increasingly de-personalised. Part of the problem may be traditional socialism doesn't take into account the theorised coordinator class, as represented by the Soviet Nomenklatura or the contemporary corporate elite, who do not necessarily own the means of production, but are exercising increasing control over it. Of course, some would hold them to be just another manifestation of the bourgeoisie, as in the Soviets-as-state-capitalists model, so there's certainly a discussion to be had there. Either way, formal ownership seems to be of increasing irrelevance to the issue of class struggle, and that must be acknowledged.