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

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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.
出处 《Wuhan University Journal of Natural Sciences》 CAS CSCD 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)。
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