| Full text | |
| Author(s): |
Total Authors: 3
|
| Affiliation: | [1] Univ Sao Paulo, Dept Matemat, Inst Matemat & Estat, Caixa Postal 66281, BR-05315970 Sao Paulo - Brazil
[2] Univ Valencia, Dept Anal Matemat, Fac Matemat, Burjasot Valencia 46100 - Spain
Total Affiliations: 2
|
| Document type: | Journal article |
| Source: | PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY; v. 62, n. 4, p. 913-924, NOV 2019. |
| Web of Science Citations: | 0 |
| Abstract | |
We present an infinite-dimensional version of Cartan's theorem concerning the existence of a holomorphic inverse of a given holomorphic self-map of a bounded convex open subset of a dual Banach space. No separability is assumed, contrary to previous analogous results. The main assumption is that the derivative operator is power bounded, and which we, in turn, show to be diagonalizable in some cases, like the separable Hilbert space. (AU) | |
| FAPESP's process: | 17/15005-9 - Conference on Non-Linear Functional Analysis Valencia 2017 |
| Grantee: | Mary Lilian Lourenco |
| Support Opportunities: | Research Grants - Meeting - Abroad |
| FAPESP's process: | 17/26128-4 - Complex analysis in infinite dimensional |
| Grantee: | Mary Lilian Lourenco |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |