Abstract
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 a-Browder's theorem and a-Weyl's theorem are established.As a consequence of the main result,the new judgements of a-Browder's theo-rem and a-Weyl's theorem for operator function are discussed.
基金项目
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)
Talent Project of Weinan Normal University(2021RC16)
NETL
NSTL
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