Q-SUPERSYMMETRIC GENERALIZATION OF VON-NEUMANN THEOREM

Assuming that there exist operators which form an irreducible represen tation of the q-superoscillator algebra, it is proved that any two suc h representations are equivalent, related by a uniquely determined sup erunitary transformation. This provides a q-supersymmetric generalizat ion of the well known uniqueness theorem of von Neumann for any finite number of degrees of freedom.