- Tytuł:
- Extensions of dissipative operators with closable imaginary part
- Autorzy:
- Fischbacher, Christoph
- Powiązania:
- https://bibliotekanauki.pl/articles/2051880.pdf
- Data publikacji:
- 2021
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
extension theory
dissipative operators
ordinary differential operators - Opis:
- Given a dissipative operator A on a complex Hilbert space H such that the quadratic form $f \mapsto Im\langle f,Af\rangle$ 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.
- Źródło:
-
Opuscula Mathematica; 2021, 41, 3; 381-393
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł