@Article{Granovskyi2018,
author = "Granovskyi, Yaroslav I. and Oridoroga, Leonid L.",
title = "Krein-von Neumann extension of an even order differential operator on a finite interval",
journal = "Opuscula Math.",
year = "2018",
volume = "38",
number = "5",
pages = "681--698",
doi = "https://doi.org/10.7494/OpMath.2018.38.5.681",
url = "https://doi.org/10.7494/OpMath.2018.38.5.681",
abstract = "We describe the Krein-von Neumann extension of minimal operator associated with the expression \(\mathcal{A}:=(-1)^n\frac{d^{2n}}{dx^{2n}}\) on a finite interval \((a,b)\) in terms of boundary conditions. All non-negative extensions of the operator \(A\) as well as extensions with a finite number of negative squares are described.",
keywords = "non-negative extension, Friedrichs' extension, Krein-von Neumann extension, boundary triple, Weyl function",
issn = "1232-9274"
}