Property(ω) and Its Perturbations |
| |
作者姓名: | Wei Juan SHI Xiao Hong CAO |
| |
作者单位: | CollegeofMathematicsandInformationScience,ShaanxiNormalUniversity,Xi'an710062,P.R.China |
| |
基金项目: | Supported by the Fundamental Research Funds for the Central Universities(Grant No.GK201301007);National Natural Science Foundation of China(Grant No.11371012) |
| |
摘 要: | A Hilbert space operator T is said to have property(ω1) if σa(T)\σaw(T) ? π00(T), where σa(T) and σaw(T) denote the approximate point spectrum and the Weyl essential approximate point spectrum of T respectively, and π00(T) = {λ∈ iso σ(T), 0 dim N(T- λI) ∞}. If σa(T)\σaw(T) = π00(T), we say T satisfies property(ω). In this note, we investigate the stability of the property(ω1) and the property(ω) under compact perturbations, and we characterize those operators for which the property(ω1) and the property(ω) are stable under compact perturbations.
|
关 键 词: | 紧扰动 物业 Hilbert 近似点谱 空间算子 稳定性 符合性 财产 |
本文献已被 CNKI 维普 SpringerLink 等数据库收录! |