摘要
本文利用拓扑一致降标研究了Weyl定理的两个变形——广义(ω_1)性质及广义(ω)性质,给出了Hilbert空间中有界线性算子满足广义(ω_1)性质及广义(ω)性质的充要条件;最后,利用所得结果讨论了2×2上三角算子矩阵的广义(ω_1)性质及广义(ω)性质.
In this paper we study the generalized property （w1） and generalized property （w） which are two variants of Weyl＇s theorem by means of the topological uniform descent, and establish for a bounded linear operator defined on a Hilbert space the sufficient and necessary conditions for which generalized property （wl） and generalized property （w） hold. In addition, the generalized property （w1） and generalized property （w） for 2 × 2 upper triangular operator matrices are discussed.
出处
《数学进展》
CSCD
北大核心
2014年第1期151-158,共8页
Advances in Mathematics（China）
基金
supported by the Fundamental Research Funds for the Central Universities(No.GK200901015)
the Specialized Research Fund for the Doctoral Program of Higher Education(No.20110202110002)
