EXTENSIONS OF POLYNOMIALS ON PREDUALS OF LORENTZ SEQUENCE SPACES

We show that there is a unique norm-preserving extension for norm-attaining 2-homogeneous polynomials on the predual d*(w,1) of a complex Lorentz sequence space d(w,1) to d^(w,1), but there is no unique norm-preserving extension from mathcal P(^nd_(w,1)) to mathcal P(^nd^(w,1)) for n>=3.