Issue |
Wuhan Univ. J. Nat. Sci.
Volume 28, Number 5, October 2023
|
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Page(s) | 392 - 398 | |
DOI | https://doi.org/10.1051/wujns/2023285392 | |
Published online | 10 November 2023 |
Mathematics
CLC number: O177
Topological Uniform Descent and Judgement of A-Weyl's Theorem
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
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 theorem and a-Weyl's theorem for operator function are discussed.
Key words: a-Browder's theorem / a-Weyl's theorem / topological uniform descent
Biography: SUN Chenhui, female, Ph. D., Assistant professor, research direction: operator theory. E-mail: sunchenhui1986@163. com
Fundation item: 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), and 2021 Talent Project of Weinan Normal University (2021RC16)
© Wuhan University 2023
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