科研之友
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摘要
We investigate a new spectrum property (), which extends the generalized Weyl theorem. Using the property of consistence in Fredholm and index, we establish for a bounded linear operator T defined on a Hilbert space sufficient and necessary conditions for which the property holds. We also explore conditions on Hilbert operators T and S so that property holds for . Moreover, we study the permanence of property under perturbations by power finite rank operators commuting with T and discuss the relation between property () and hypercyclic operators.
- 出版日期2017-6
- 单位南京航空航天大学
