ModulabilityOrdered vector space Quasi-Banach space Topological dual Let p > 0, and let E p denote the cone of negative plurisubharmonic functions with finite pluricomplex p-energy. We prove that the vector space δE p = E p − E p , with the vector ordering induced by the cone E p is σ -Dedekind complete, and equipped with a suitable quasi-norm it is a non-separable quasi-Banach space with a decomposition property with control of the quasi-norm. Furthermore, we explicitly characterize its topological dual. The cone E p in the quasi-normed space δE p is closed, generating, and has empty interior.

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