Generalized Kato type operators and property (ω) under perturbations
Generalized Kato type operators and property (ω) under perturbations
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DOI：
10.1016/j.laa.2011.10.027
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发表时间：
2012-04
影响因子：
1.1
通讯作者：
Xiao-hong Cao;A. Liu
中科院分区：
文献类型：
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作者：
Xiao-hong Cao;A. Liu
在本文中，我们给出了广义加藤类型的定义，并为希尔伯特空间上定义的有界线性算子建立了性质（ω）通过广义加藤性质的诱导谱成立的充分必要条件。此外，还讨论了性质(ω)的稳定性。
In this note we give the definition of generalized Kato type and establish for a bounded linear operator defined on a Hilbert space the sufficient and necessary conditions for which property (ω) holds by means of the induced spectrum of generalized Kato property. In addition, the stability of property (ω) is discussed.