Dr Chunrong Feng chunrong.feng@durham.ac.uk
Professor
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.
Feng, C., & Li, L. (2022). Differentiable maps with isolated critical points are not necessarily open in infinite dimensional spaces. Advances in operator theory, 7, Article 5. https://doi.org/10.1007/s43036-021-00170-1
Journal Article Type | Article |
---|---|
Acceptance Date | Oct 17, 2021 |
Online Publication Date | Nov 3, 2021 |
Publication Date | 2022 |
Deposit Date | Nov 14, 2021 |
Publicly Available Date | Nov 3, 2022 |
Journal | Advances in Operator Theory |
Electronic ISSN | 2538-225X |
Publisher | Springer |
Peer Reviewed | Peer Reviewed |
Volume | 7 |
Article Number | 5 |
DOI | https://doi.org/10.1007/s43036-021-00170-1 |
Public URL | https://durham-repository.worktribe.com/output/1225041 |
Accepted Journal Article
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Copyright 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
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