SOME RESULTS CONCERNING THE DETERMINATION OF THE POLYNOMIALS ON E BY THE DUAL SPACE E'

摘要

We show that under conditions of regularity, if E' is isomor-phic to F' then the spaces of homogeneous polynomials on E and F are isomorphic. Some subspaces of polynomials more closely related to the structure of dual spaces (weakly continuous, integral) are shown to be isomorphic in full generality.