摘要
设A,B和C是Hilbert空间H上的紧算子,定义B(H)上的初等算子: ∑(X)= AX+XB+CXD.本文我们给出∑值域闭的一些充分或必要条件.
Let A, B, C and D be compact operators acting on a Hilbert space H. Define ∑(X) = AX + XB + CXD for X ∑ B(H). In this paper, we give several conditions(sufficient or necessary) such that the range of E is closed.
出处
《数学进展》
CSCD
北大核心
2003年第1期47-52,共6页
Advances in Mathematics（China）
基金
The work is supported by Tian-yuan Foundation(No.10226010).
