应用泛函分析学报2001，Vol.3Issue(3)：197-201,5.
一类本质正规算子的稳定不变子空间
The Stable Invariant Subspace of Certain Essentially Normal Operators
摘要
Abstract
In this paper, we give the character of stable invariant subspace of certain essentially normal operators, i.e, T∈L(H2(Ω;μ)) and T satisfies the following conditions ① T is an essentially normal; ② σ(T)=Ω,σc(T)=Ω,σp(T)=Ω; ③ind(T z)=n, z∈Ω; ④minind(T z)=0, z∈Ω. IfMisanontrivial invariant subspace of T, then M is a stable invariant subspace of T if and only if dimM＜∞ and dimM⊥ = ∞.关键词
稳定不变子空间/本质正规算子/广义右预解射影Key words
stable invariant subspace/essentially normal operator/generalized right resolve projection分类
数理科学引用本文复制引用
翟发辉..一类本质正规算子的稳定不变子空间[J].应用泛函分析学报,2001,3(3):197-201,5.基金项目
The work was supported in part by The Heilongjiang Science Foundation(19671018) （19671018）
