L (ω,μ) cannot isometrically contain some three-dimensional subspaces of AM-spaces*

This article presents a novel method to prove that: let E be an AM-space and if dim E ≥ 3, then there does not exist any odd subtractive isometric mapping from the unit sphere S(E) into S[L(ω,μ)]. In particular, there does not exist any real linear isometry from E into L(ω,μ).