体上可中心化矩阵的几个定理

Several Theorems on Centralizable Matrices over Skew Field

中文摘要:

      本文证明了:设A,B是体K上矩阵,A可中心化,B相似于中心上三角阵,则K上矩阵(?)可中心化,且‖D‖=‖A‖‖B‖.由这个结果本文得到可中心化矩阵的几个性质.

英文摘要:

      This proves that: Let A, B be matrices over a skew field K, A is centralizable, B is.similar to a central upper triangular matrix, then the matrix D=(?) over K iscentralizable, and ‖D‖=‖A‖·‖B‖. By this result, we obtain some properties ofcentralizable matrices.