王宁, 曹小红. 有界线性算子及其函数的a-Browder定理[J]. 云南大学学报(自然科学版), 2021, 43(3): 421-428. doi: 10.7540/j.ynu.20200590
引用本文: 王宁, 曹小红. 有界线性算子及其函数的a-Browder定理[J]. 云南大学学报(自然科学版), 2021, 43(3): 421-428. doi: 10.7540/j.ynu.20200590
WANG Ning, CAO Xiao-hong. A-Browder theorem for bounded linear operators and their functions[J]. Journal of Yunnan University: Natural Sciences Edition, 2021, 43(3): 421-428. DOI: 10.7540/j.ynu.20200590
Citation: WANG Ning, CAO Xiao-hong. A-Browder theorem for bounded linear operators and their functions[J]. Journal of Yunnan University: Natural Sciences Edition, 2021, 43(3): 421-428. DOI: 10.7540/j.ynu.20200590

有界线性算子及其函数的a-Browder定理

A-Browder theorem for bounded linear operators and their functions

  • 摘要: 文章重点研究了Weyl型定理中的a-Browder定理, 通过借助新的谱集, 给出了有界线性算子及其函数满足a-Browder定理的充要条件.

     

    Abstract: This paper focuses on a-Browder theorem, and using the new spectrum, we obtain the necessary and sufficient conditions for linear bounded operators and their functions for which obeys a-Browder theorem.

     

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