- Tytuł:
- On a property of weak resolvents and its application to a spectral problem
- Autorzy:
- Uetake, Yoichi
- Powiązania:
- https://bibliotekanauki.pl/articles/1294816.pdf
- Data publikacji:
- 1997
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
weak resolvent
cyclic vector
spectral radius
Hardy class
operator model theory
scattering theory
control theory - Opis:
- We show that the poles of a resolvent coincide with the poles of its weak resolvent up to their orders, for operators on Hilbert space which have some cyclic properties. Using this, we show that a theorem similar to the Mlak theorem holds under milder conditions, if a given operator and its adjoint have cyclic vectors.
- Źródło:
-
Annales Polonici Mathematici; 1997, 66, 1; 263-268
0066-2216 - Pojawia się w:
- Annales Polonici Mathematici
- Dostawca treści:
- Biblioteka Nauki
Artykuł