Search

Let Al = [aij(l)] be a strictly upper triangular n×n matrix on Cn with a jj+1(l) ≠ 0 for j=1, 2, …, n −1 and R=⊕ki=1 Ai In this paper, we prove that if S is the double commutants of R, then there are polynomials pi (Z)=∑n−1j=0 Cij Zj of degree less than n−1 such that S is a diagonalmatrix with the form S=diag(p1(A1), p2(A2), …, pk(Ak)). [ABSTRACT FROM PUBLISHER]