l2上的对角算子 / Diagonal Operators on l2
- Resource Type
- Academic Journal
- Authors
- 吴焕春; 张永珍; 郑书清; WU Huan-chun; ZHANG Yong-zhen; ZHENG Shu-qing
- Source
- 唐山学院学报 / Journal of Tangshan College. (3):11-12
- Subject
- 对角算子
伴随算子
正算子
有限秩算子
Hilbert—schrnidt
算子
diagonal operators
adjoint operators
positive operators
finite rank operators
operators
- Language
- Chinese
- ISSN
- 1672-349X
研究了l2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.