Geodesic
Factorization of uniformly holomorphic functions
Annales Polonici Mathematici, Tome 61 (1995) no. 1, pp. 1-11.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 $ε*_{u}(U)$ of the envelope of uniform holomorphy of Π(U) constructed by Paques and Zaine [9] is the envelope of uF-holomorphy of U.
DOI : 10.4064/ap-61-1-1-11
Keywords: uniformly holomorphic, envelope of holomorphy

Luiza Moraes 1 ; Otilia Paques 1 ; M. Zaine 1

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Luiza Moraes; Otilia Paques; M. Zaine. Factorization of uniformly holomorphic functions. Annales Polonici Mathematici, Tome 61 (1995) no. 1, pp. 1-11. doi : 10.4064/ap-61-1-1-11. http://geodesic.mathdoc.fr/articles/10.4064/ap-61-1-1-11/

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