- Tytuł:
- On the extended and Allan spectra and topological radii
- Autorzy:
-
Arizmendi-Peimbert, H.
Carrillo-Hoyo, A.
Roa-Fajardo, J. - Powiązania:
- https://bibliotekanauki.pl/articles/255969.pdf
- Data publikacji:
- 2012
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
topological algebra
bounded element
spectrum
pseudocomplete algebra
topologically invertible element
extended spectral radius
topological spectral radius - Opis:
- In this paper we prove that the extended spectrum ∑(x), defined by W. Żelazko, of an element x of a pseudo-complete locally convex unital complex algebra A is a subset of the spectrum σA(x), defined by G.R. Allan. Furthermore, we prove that they coincide when ∑ (x) is closed. We also establish some order relations between several topological radii of x, among which are the topological spectral radius Rt(x) and the topological radius of boundedness βt(x).
- Źródło:
-
Opuscula Mathematica; 2012, 32, 2; 227-234
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł