- Tytuł:
- Diffeomorphisms between spheres and hyperplanes in infinite-dimensional Banach spaces
- Autorzy:
- Azagra, Daniel
- Powiązania:
- https://bibliotekanauki.pl/articles/1219142.pdf
- Data publikacji:
- 1997
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
$C^p$ smooth norm
spheres and hyperplanes in Banach spaces - Opis:
- We prove that for every infinite-dimensional Banach space X with a Fréchet differentiable norm, the sphere $S_X$ is diffeomorphic to each closed hyperplane in X. We also prove that every infinite-dimensional Banach space Y having a (not necessarily equivalent) $C^p$ norm (with $p ∈ ℕ ∪ {∞}$)$ is $C^p$ diffeomorphic to $Y \ {0}$.
- Źródło:
-
Studia Mathematica; 1997, 125, 2; 179-186
0039-3223 - Pojawia się w:
- Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł