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

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

Identyfikatory

DOI

10.7494/OpMath.2021.41.6.805

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Krein-von Neumann extension; regular quasi-differential operator

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2021
• Tom: Vol. 41, no. 6
• Strony: 805--841
• Opis fizyczny: Bibliogr. 33 poz.

Twórcy

autor

Cho Minsung

• Carnegie Mellon University Department of Mathematical Sciences 5000 Forbes Avenue, Pittsburgh, PA 15289, USA Hoisington Seth

• https://orcid.org/0000-0003-3785-7107

autor

Hoisington Seth

• University of Virginia Department of Mathematics Charlottesville, VA 22903, USA

• https://orcid.org/0000-0003-2318-2532

autor

Nichols Roger

• University of Tennessee at Chattanooga Department of Mathematics (Dept. 6956) 615 McCallie Ave., Chattanooga, TN 37403, USA

• https://orcid.org/0000-0001-6583-4637

autor

Udall Brian

• Rice University Department of Mathematics 6100 Main Street, Houston, TX 77005, USA

• https://orcid.org/0000-0003-2087-2730

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).