THE CONVEX STRUCTURE OF THE CONE OF N-FERMION POSITIVE-SEMIDEFINITE 1-PARTICLE OPERATORS

The paper contains results related to the canonical convex decomposition into the extreme elements of a 1-particle operator whose N-particle extension to the antisymmetric N-particle Hilbert space is positive semidefinite. The decomposition is derived in [11. The results show how the convex structure depends on the dimension of the underlying 1-particle Hilbert space.