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.
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
