We will show that let X and Y be M-finite Banach spaces with canonical M-decompositions (수식) and (수식), respectively and M and N nonzero locally compact Hausdorff spaces. Then I : C_0(M,X) → C_0(N,Y) is an isometrical isomorphism if and only if r = r and there are permutation and homeomorphisms and continuous maps such that (수식).
