The Krein-von Neumann Extension of a Regular Even Order Quasi-Differential Operator

2021/08/28 by Cho, Minsung, Hoisington, Seth, Nichols, Roger +1
#34L40 #47E05 #FOS: Mathematics #Functional Analysis (math.FA) #Primary 47B25 #Secondary 34B24

paper · doi:10.48550/arxiv.2108.12685

Abstract

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.

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