The Krein-von Neumann extension of a regular even order quasi-differential operator
The Krein-von Neumann extension of a regular even order quasi-differential operator
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DOI：
10.7494/opmath.2021.41.6.805
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发表时间：
2021-08
影响因子：
1
通讯作者：
Minsung Cho;Seth Hoisington;Roger Nichols;Brian Udall
中科院分区：
文献类型：
--
作者：
Minsung Cho;Seth Hoisington;Roger Nichols;Brian Udall
通过边界条件刻画了对应于正则偶数阶Shin-Zettl型拟微分表达式的严格正极小算子的Krein-von Neumann扩张.表征是在一个特别选择的基础上内核的最大运营商和采用的描述弗里德里希扩展由于穆勒和泽特尔。
We characterize by boundary conditions the Krein-von Neumann extension of a strictly positive minimal operator corresponding to a regular even order quasi-differential expression of Shin-Zettl type. The characterization is stated in terms of a specially chosen basis for the kernel of the maximal operator and employs a description of the Friedrichs extension due to Möller and Zettl.