除环上无限方阵的对角化

摘要

讨论了除环上无限方阵的对角化问题,证明了除环上行列有限方阵等价于一类特殊对角矩阵Dn的两个等价条件.%The diagonalization problem of infinite matrix on a division ring is discussed.The two equivalence conditions for row-column-finite-matrix A～Dn on a division ring are proved.