A surjective summation operator with no Lipschitz right inverse
| dc.contributor.author | Laustsen, Niels Jakob | |
| dc.contributor.author | Messerschmidt, Miek | |
| dc.contributor.author | Wortel, Marten | |
| dc.contributor.email | marten.wortel@up.ac.za | en_US |
| dc.date.accessioned | 2023-12-04T12:51:16Z | |
| dc.date.available | 2023-12-04T12:51:16Z | |
| dc.date.issued | 2024-01 | |
| dc.description.abstract | We show that there exists a Banach space X which contains closed subspaces Y and Z with Y+Z=X such that the associated surjective summation operator Σ: Y×Z→X defined by Σ(y,z)= y+z for y∈Y and z∈Z has no Lipschitz right inverse. | en_US |
| dc.description.department | Mathematics and Applied Mathematics | en_US |
| dc.description.librarian | hj2023 | en_US |
| dc.description.sdg | None | en_US |
| dc.description.uri | http://www.ams.org/publications/journals/journalsframework/proc | en_US |
| dc.identifier.citation | Laustsen, N.J., Messerschmidt, M. & Wortel, M., 2024, 'A surjective summation operator with no Lipschitz right inverse', Proceedings of the American Mathematical Society, vol. 152, no. 1, pp. 253-266, doi : 10.1090/proc/16496. | en_US |
| dc.identifier.issn | 0002-9939 (print) | |
| dc.identifier.issn | 1088-6826 (online) | |
| dc.identifier.other | 10.1090/proc/16496 | |
| dc.identifier.uri | http://hdl.handle.net/2263/93727 | |
| dc.language.iso | en | en_US |
| dc.publisher | American Mathematical Society | en_US |
| dc.rights | © 2023 American Mathematical Society. | en_US |
| dc.subject | Lipschitz right inverse | en_US |
| dc.subject | Surjective summation operator | en_US |
| dc.title | A surjective summation operator with no Lipschitz right inverse | en_US |
| dc.type | Postprint Article | en_US |