Topological Uniform Descent and Judgement of A-Weyl's Theorem  

作　　者：SUN Chenhui WANG Ning CAO Xiaohong 

机构地区：[1]School of Mathematics and Statistics,Weinan Normal University,Weinan 714099,Shaanxi,China [2]School of Mathematics and Statistics,Shaanxi Normal University,Xi'an 710062,Shaanxi,China

出　　处：《Wuhan University Journal of Natural Sciences》2023年第5期392-398,共7页武汉大学学报（自然科学英文版）

基　　金：Supported by the 2021 General Special Scientific Research Project of Education Department of Shaanxi Provincial Government(21JK0637);Science and Technology Planning Project of Weinan Science and Technology Bureau(2022ZDYFJH-11);2021 Talent Project of Weinan Normal University(2021RC16)。

摘　　要：In this paper,a-Browder’s theorem and a-Weyl’s theorem for bounded linear operators are studied by means of the property of the topological uniform descent.The sufficient and necessary conditions for a bounded linear operator defined on a Hilbert space holding aBrowder’s theorem and a-Weyl’s theorem are established.As a consequence of the main result,the new judgements of a-Browder’s theorem and a-Weyl’s theorem for operator function are discussed.

关 键 词：a-Browder's theorem a-Weyl's theorem topological uniform descent 

分 类 号：O17[理学—数学]