K-Groups of Two Kinds of Algebras
In this paper, we discuss the commutative algebra of matrix and give a new similarity theorem of matrices by using the ordered K-group of the commutative algebra of matrix as an invariant. The theorem is equivalent to the Jordan form Theorem. In the paper, we compute the K0 -group of the algebra A(D) =f:f is analytic in the open disk D and continuous in the D . Then we discuss the properties of the adjoint operator T of unilateral shift, prove that T is a strongly irreducible Cowen-Douglas operator, and compute the K0 -group of the commutative algebra of T.
Operator Strongly irreducible Commutative algebra K0-group
Xianzhou Guo Xiangrnei Zhang Xinjie Gao
School of Sciences, Hebei University of Technology, Tianjin, P.R.China
国际会议
The Third International Workshop on Applied Matriz Theory(第三届国际矩阵分析与应用会议)
杭州
英文
481-484
2009-07-09（万方平台首次上网日期，不代表论文的发表时间）