Feng, Chunrong and Li, Liangpan (2022) 'Differentiable maps with isolated critical points are not necessarily open in infinite dimensional spaces.', Advances in Operator Theory, 7 . p. 5.
Abstract
Saint Raymond asked whether continuously differentiable maps with isolated critical points are necessarily open in infinite dimensional (Hilbert) spaces. We answer this question negatively by constructing counterexamples in various settings including all weakly separable spaces.
| Item Type: | Article |
|---|---|
| Full text: | Publisher-imposed embargo until 03 November 2022. (AM) Accepted Manuscript File format - PDF (271Kb) |
| Status: | Peer-reviewed |
| Publisher Web site: | https://doi.org/10.1007/s43036-021-00170-1 |
| Publisher statement: | This is a post-peer-review, pre-copyedit version of a journal article published in Advances in Operator Theory. The final authenticated version is available online at: https://doi.org/10.1007/s43036-021-00170-1 |
| Date accepted: | 17 October 2021 |
| Date deposited: | 15 November 2021 |
| Date of first online publication: | 03 November 2021 |
| Date first made open access: | 03 November 2022 |
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