高凯, 曹小红. 算子及其函数的(UWE)性质的判定[J]. 云南大学学报(自然科学版), 2023, 45(5): 985-992. doi: 10.7540/j.ynu.20210490
引用本文: 高凯, 曹小红. 算子及其函数的(UWE)性质的判定[J]. 云南大学学报(自然科学版), 2023, 45(5): 985-992. doi: 10.7540/j.ynu.20210490
shu
GAO Kai, CAO Xiao-hong. Judgement of property (UWE) for operators and their functions[J]. Journal of Yunnan University: Natural Sciences Edition, 2023, 45(5): 985-992. DOI: 10.7540/j.ynu.20210490
Citation: GAO Kai, CAO Xiao-hong. Judgement of property (UWE) for operators and their functions[J]. Journal of Yunnan University: Natural Sciences Edition, 2023, 45(5): 985-992. DOI: 10.7540/j.ynu.20210490
shu

算子及其函数的(UWE)性质的判定

Judgement of property (UWE) for operators and their functions

    摘要
  • 摘要: 研究Weyl型定理中的 (UWE) 性质，借助新定义的谱集，分别给出了有界线性算子及其函数演算满足 (UWE) 性质的充分必要条件.

     

    Abstract: We investigate the property (UWE) , which is one of Weyl type theorems. By means of the newly defined spectrum set, we give the sufficient and necessary conditions for operators and functions of operators to satisfy property (UWE) .

     

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