- Tytuł:
- Reduction of positive self-adjoint extensions
- Autorzy:
-
Tarcsay, Zsigmond
Sebestyén, Zoltán - Tematy:
-
positive selfadjoint contractive extension
nonnegative selfadjoint extension
Friedrichs and Krein-von Neumann extension - Pokaż więcej
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Powiązania:
- https://bibliotekanauki.pl/articles/29519751.pdf Link otwiera się w nowym oknie
- Opis:
- We revise Krein’s extension theory of semi-bounded Hermitian operators by reducing the problem to finding all positive and contractive extensions of the “resolvent operator” $ (I + T)^{−1} $ of $ T $. Our treatment is somewhat simpler and more natural than Krein’s original method which was based on the Krein transform $ (I−T)(I+T)^{−1} $. Apart from being positive and symmetric, we do not impose any further constraints on the operator $ T $: neither its closedness nor the density of its domain is assumed. Moreover, our arguments remain valid in both real or complex Hilbert spaces.
- Dostawca treści:
- Biblioteka Nauki
Artykuł