Extensions of dissipative operators with closable imaginary part

• Autorzy: Fischbacher Christoph

Identyfikatory

DOI

10.7494/OpMath.2021.41.3.381

• Języki publikacji: EN

Abstrakty

EN

Given a dissipative operator A on a complex Hilbert space H such that the quadratic form ƒ → Im( ƒ A&fnof] is closable, we give a necessary and sufficient condition for an extension of A to still be dissipative. As applications, we describe all maximally accretive extensions of strictly positive symmetric operators and all maximally dissipative extensions of a highly singular first-order operator on the interval.

Słowa kluczowe

EN

extension theory; dissipative operators; ordinary differential operators

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2021
• Tom: Vol. 41, no. 3
• Strony: 381--393
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Fischbacher Christoph

• Department of Mathematics University of California, Irvine Irvine, CA, 92697, USA

• https://orcid.org/0000-0002-3213-6995

Bibliografia

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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).