- Tytuł:
- Factorization of Montel operators
- Autorzy:
-
Dierolf, S.
Domański, P. - Powiązania:
- https://bibliotekanauki.pl/articles/1292530.pdf
- Data publikacji:
- 1993
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
Fréchet space
Fréchet-Montel space
complete LB-space
Montel LB-space
regular LB-space
Mackey completion of an LB-space
bornologicity of C(K,E) - Opis:
- Consider the following conditions. (a) Every regular LB-space is complete; (b) if an operator T between complete LB-spaces maps bounded sets into relatively compact sets, then T factorizes through a Montel LB-space; (c) for every complete LB-space E the space C (βℕ, E) is bornological. We show that (a) ⇒ (b) ⇒ (c). Moreover, we show that if E is Montel, then (c) holds. An example of an LB-space E with a strictly increasing transfinite sequence of its Mackey derivatives is given.
- Źródło:
-
Studia Mathematica; 1993, 107, 1; 15-32
0039-3223 - Pojawia się w:
- Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł