Dimensions of the Kernels of Linear Operators and Their Algebraic Adjoints  

作　　者：Yang Lihua, Institute of Mathematics, Academia Sinica, Beijing 100080, China Department of Scientific Computing, Zhongshan University, Guangzhou 510275, ChinaSun Xingming, Department of Physics, Xiangtan Teachers’ College, Xiangtan 411201, China 

出　　处：《Acta Mathematica Sinica,English Series》1998年第4期441-446,共6页数学学报（英文版）

摘　　要：In this paper we study the kernels of a linear operator and its algebraic adjoint by studying their restriction on a subspace, a Banach space, such that the restriction is the difference of the identity and a compact operator under some conditions, and therefore some results on compact operator theory can be applied. As an example we study the M-scale subdivision operators.In this paper we study the kernels of a linear operator and its algebraic adjoint by studying their restriction on a subspace, a Banach space, such that the restriction is the difference of the identity and a compact operator under some conditions, and therefore some results on compact operator theory can be applied. As an example we study the M-scale subdivision operators.

关 键 词：Linear space Compact operator Subdivision operator 

分 类 号：O1[理学—数学]