拓扑一致降标与Browder定理

孙晨辉; 白珍贵; 曹小红

doi:10.7540/j.ynu.20210017

孙晨辉, 白珍贵, 曹小红. 拓扑一致降标与Browder定理[J]. 云南大学学报(自然科学版), 2021, 43(4): 646-651. doi: 10.7540/j.ynu.20210017

引用本文:

孙晨辉, 白珍贵, 曹小红. 拓扑一致降标与Browder定理[J]. 云南大学学报(自然科学版), 2021, 43(4): 646-651. doi: 10.7540/j.ynu.20210017

SUN Chen-hui, BAI Zhen-gui, CAO Xiao-hong. Topological uniform descent and Browder’s theorem[J]. Journal of Yunnan University: Natural Sciences Edition, 2021, 43(4): 646-651. DOI: 10.7540/j.ynu.20210017

Citation:

SUN Chen-hui, BAI Zhen-gui, CAO Xiao-hong. Topological uniform descent and Browder’s theorem[J]. Journal of Yunnan University: Natural Sciences Edition, 2021, 43(4): 646-651. DOI: 10.7540/j.ynu.20210017

拓扑一致降标与Browder定理

Topological uniform descent and Browder’s theorem

摘要

摘要: 利用算子的拓扑一致降标性质，给出了判定有界线性算子满足Browder定理的充要条件. 进一步通过拓扑一致降标性质，得到了算子函数演算满足Browder定理的新方法.

Abstract: By using the property of topological uniform descent, we give the necessary and sufficient conditions of Browder’s theorem for bounded linear operators. In addition, we characterize the new judgements for operator functions satisfying Browder’s theorem according to the property of topological uniform descent.

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