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Factorization of uniformly holomorphic functions

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Moraes L., Paques O., Zaine M.

Annales Polonici Mathematici

1995

tom 61

nr 1

1-11

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.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Moraes L.

1 Paques O.

1 Zaine M.

1 1995

Wyniki wyszukiwania

Factorization of uniformly holomorphic functions