Factorization of uniformly holomorphic functions
Luiza A. Moraes ; Otilia W. Paques ; M. Carmelina F. Zaine
Annales Polonici Mathematici, Tome 62 (1995), p. 1-11 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 1995-01-01
EUDML-ID : urn:eudml:doc:262358 
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Luiza A. Moraes; Otilia W. Paques; M. Carmelina F. Zaine. Factorization of uniformly holomorphic functions. Annales Polonici Mathematici, Tome 62 (1995) pp. 1-11. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv61z1p1bwm/

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