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The Krein-von Neumann Extension of a Regular Even Order Quasi-Differential Operator (2108.12685v1)
Published 28 Aug 2021 in math.FA
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 M\"oller and Zettl.
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