- Tytuł:
- Factorization of uniformly holomorphic functions
- Autorzy:
-
Moraes, Luiza
Paques, Otilia
Zaine, M. - Powiązania:
- https://bibliotekanauki.pl/articles/1311551.pdf
- Data publikacji:
- 1995
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
uniformly holomorphic
envelope of holomorphy - Opis:
- Let E be a complex Hausdorff locally convex space such that the strong dual E' of E is sequentially complete, let F be a closed linear subspace of E and let U be a uniformly open subset of E. We denote by Π: E → E/F the canonical quotient mapping. In §1 we study the factorization of uniformly holomorphic functions through π. In §2 we study F-quotients of uniform type and introduce the concept of envelope of uF-holomorphy of a connected uniformly open subset U of E. The main result states that the pull-back $ε_{u}^\ast(U)$ of the envelope of uniform holomorphy of Π(U) constructed by Paques and Zaine [9] is the envelope of uF-holomorphy of U.
- Źródło:
-
Annales Polonici Mathematici; 1995, 61, 1; 1-11
0066-2216 - Pojawia się w:
- Annales Polonici Mathematici
- Dostawca treści:
- Biblioteka Nauki
Artykuł