l^2上的对角算子  

Diagonal Operators on l^2

作　　者：吴焕春[1] 张永珍[1] 郑书清[1] 

机构地区：[1]唐山学院基础教学部

出　　处：《唐山学院学报》2010年第3期11-12,共2页Journal of Tangshan University

摘　　要：研究了l^2上的对角算子,对其伴随算子进行了刻画,分别得到了对角算子成为正算子、有限秩算子、Hilbert-schmidt算子的充要条件,并给出了其在算子理论中的应用。Diagonal operators on l2 are studied in this paper. The adjoint operators of diagonal operators are also described. Necessary and sufficient conditions for diagonal operators to be positive operators,finite rank operators, or Hilbert-schmidt operators are obtained and their applications in operator theory are also presented.

关 键 词：对角算子 伴随算子 正算子 有限秩算子 Hilbert-schmidt算子 

分 类 号：O177.1[理学—数学]