On the regularity of the critical point infinity of definitizable operators
On the regularity of the critical point infinity of definitizable operators
复制标题
论可定义算子临界点无穷大的正则性
DOI：
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发表时间：
1985
期刊：
影响因子：
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通讯作者：
Branko Ćurgus
中科院分区：
文献类型：
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作者：
Branko Ćurgus
本文给出了可定化算子A的无穷远临界点正则性的充要条件。利用这些准则，证明了在某些加性扰动下以及对于某些与A有关的算子，临界点无穷远的正则性保持不变。应用不确定的Sturm-Liouville问题的指示。
In this note necessary and sufficient conditions for the regularity of the critical point infinity of a definitizable operator A are given. Using these criteria it is proved that the regularity of the critical point infinity is preserved under some additive perturbations as well as for some operators which are related to A. Applications to indefinite Sturm-Liouville problems are indicated.