殷乐, 曹小红. CFI算子与(ω)性质和(ω1)性质的判定[J]. 云南大学学报(自然科学版), 2020, 42(4): 609-616. doi: 10.7540/j.ynu.20190366
引用本文: 殷乐, 曹小红. CFI算子与(ω)性质和(ω1)性质的判定[J]. 云南大学学报(自然科学版), 2020, 42(4): 609-616. doi: 10.7540/j.ynu.20190366
YIN Le, CAO Xiao-hong. CFI operators and the judgements of property (ω) and property (ω1)[J]. Journal of Yunnan University: Natural Sciences Edition, 2020, 42(4): 609-616. DOI: 10.7540/j.ynu.20190366
Citation: YIN Le, CAO Xiao-hong. CFI operators and the judgements of property (ω) and property (ω1)[J]. Journal of Yunnan University: Natural Sciences Edition, 2020, 42(4): 609-616. DOI: 10.7540/j.ynu.20190366

CFI算子与(ω)性质和(ω1)性质的判定

CFI operators and the judgements of property (ω) and property (ω1)

  • 摘要: 利用一致Fredholm指标性质定义了一个新的谱集,根据这个谱集给岀了算子T及其共轭算子T*满足\left( \omega _1 \right)性质和\left( \omega \right)性质的判定条件.并且,对Hilbert空间上有界线性算子的\left( \omega \right)性质的与T交换的有限秩摄动F进行了讨论.

     

    Abstract: Using the new spectrum set defined by the property of consistency in Fredholm and index, we give the judgements of property \left( \omega _1 \right) and property \left( \omega \right) for a operator T and its adjoint operator T*. We also consider the stability of property \left( \omega \right) for a bounded linear operator acting on Hilbert space, under finite rank perturbations F commuting with T.

     

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