On malgrange theorem for nuclear holomorphic functions in open balls of a Banach space
✍ Scribed by Mário C. Matos
- Publisher
- Springer-Verlag
- Year
- 1978
- Tongue
- French
- Weight
- 453 KB
- Volume
- 162
- Category
- Article
- ISSN
- 0025-5874
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📜 SIMILAR VOLUMES
Let X be a complex strictly convex Banach space with an open unit ball B. For each compact, holomorphic and fixed-point-free mapping f: B Ä B there exists ! # B such that the sequence [ f n ] of iterates of f converges locally uniformly on B to the constant map taking the value !.
In the first part, we generalize the classical result of Bohr by proving that an m Ž analogous phenomenon occurs whenever D is an open domain in ރ or, more . Ž . ϱ generally, a complex manifold and is a basis in the space of holomorphic n ns0 Ž . Ž . functions H D such that s 1 and z s 0, n G 1,