Criteria for the Property (UWE) and the a-Weyl Theorem

IF 0.6 4区数学 Q3 MATHEMATICS

Functional Analysis and Its Applications Pub Date : 2023-01-31 DOI:10.1134/S0016266322030054

Chenhui Sun, Xiaohong Cao

引用次数: 1

Abstract

In this paper, the property (UWE) and the a-Weyl theorem for bounded linear operators are studied in terms of the property of topological uniform descent. Sufficient and necessary conditions for a bounded linear operator defined on a Hilbert space to have the property (UWE) and satisfy the a-Weyl theorem are established. In addition, new criteria for the fulfillment of the property (UWE) and the a-Weyl theorem for an operator function are discussed. As a consequence of the main theorem, results on the stability of the property (UWE) and the a-Weyl theorem are obtained.

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性质判据(UWE)和a-Weyl定理

本文从拓扑一致下降的性质出发，研究了有界线性算子的性质(UWE)和a-Weyl定理。给出了定义在Hilbert空间上的有界线性算子具有性质(UWE)并满足a- weyl定理的充要条件。此外，还讨论了算子函数的性质满足的新判据和a-Weyl定理。作为主要定理的结果，得到了性质的稳定性和a- weyl定理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Functional Analysis and Its Applications 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Functional Analysis and Its Applications publishes current problems of functional analysis, including representation theory, theory of abstract and functional spaces, theory of operators, spectral theory, theory of operator equations, and the theory of normed rings. The journal also covers the most important applications of functional analysis in mathematics, mechanics, and theoretical physics.