The Krein-von Neumann extension of a regular even order quasi-differential operator

Opuscula Mathematica

article

Minsung Cho¹  Seth Hoisington²  Roger Nichols (corresponding author)³  Brian Udall⁴ 

[1] Carnegie Mellon University, Department of Mathematical Sciences;University of Virginia, Department of Mathematics;University of Tennessee at Chattanooga, Department of Mathematics ,(Dept. 6956);Rice University, Department of Mathematics

关键词: Krein-von Neumann extension;    regular quasi-differential operator.;   

DOI  :  10.7494/OpMath.2021.41.6.805

学科分类：环境科学（综合）

来源: AGH University of Science and Technology Press

【 摘 要 】

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.

【 授权许可】

CC BY-NC