- Tytuł:
- A splitting theory for the space of distributions
- Autorzy:
-
Domański, P.
Vogt, D - Powiązania:
- https://bibliotekanauki.pl/articles/1206085.pdf
- Data publikacji:
- 2000
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
exact complex
systems of partial differential equations
short exact sequence
splitting
space of distributions
lifting of Banach discs
Schwartz spaces
nuclear spaces
ultrabornological associated space
ω - Opis:
- The splitting problem is studied for short exact sequences consisting of countable projective limits of DFN-spaces (*) 0 → F → X → G → 0, where F or G are isomorphic to the space of distributions D'. It is proved that every sequence (*) splits for F ≃ D' iff G is a subspace of D' and that, for ultrabornological F, every sequence (*) splits for G ≃ D' iff F is a quotient of D'
- Źródło:
-
Studia Mathematica; 2000, 140, 1; 57-77
0039-3223 - Pojawia się w:
- Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł