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Inverses depending holomorphically on a parameter in a Banach space |
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| Authors: | Seán Dineen Milena Venkova |
| Institution: | a Department of Mathematics, University College Dublin, Dublin 4, Ireland b Department of Mathematics and Statistics, Georgia State University, 30 Pryor St., Atlanta, GA 30303-3083, USA |
| Abstract: | We show that the existence of a right inverse at each point for a holomorphic mapping from a pseudo-convex domain in a Banach space with an unconditional basis into a unital Banach algebra implies the existence of a holomorphic right inverse. Variations of this result are given. |
| Keywords: | Holomorphic right inverse Banach algebra Holomorphic vector bundle |
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