Opuscula Mathematica (Nov 2021)

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

  • Minsung Cho,
  • Seth Hoisington,
  • Roger Nichols,
  • Brian Udall

DOI
https://doi.org/10.7494/OpMath.2021.41.6.805
Journal volume & issue
Vol. 41, no. 6
pp. 805 – 841

Abstract

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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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