| dc.contributor.author | Rodríguez-Vidanes, Daniel L. | |
| dc.contributor.author | Sampedro Pascual, Juan Carlos | |
| dc.contributor.other | Universidad de Cantabria | es_ES |
| dc.date.accessioned | 2026-01-22T15:22:38Z | |
| dc.date.issued | 2026-11 | |
| dc.identifier.issn | 1735-8787 | |
| dc.identifier.issn | 2662-2033 | |
| dc.identifier.uri | https://hdl.handle.net/10902/38856 | |
| dc.description.abstract | We investigate the isometric structure of L p-spaces for the infinite-dimensional Lebesgue measure (RN) Under the continuum hypothesis (CH) we proveL p p(c, L p[0, 1]), where c denotes the cardinality of the continuum, and without CH we obtain an isometric, complemented copy of p(c, L p[0, 1]) inside L p. In a general ramework, we characterize precisely when L p = p(L p[0, 1]) and classify all such isometries. | es_ES |
| dc.description.sponsorship | The authors would like to thank Prof. Krzysztof C. Ciesielski for his insightful and meaningful comments, which contributed to the main result of this paper, Theorem 2.4. His feedback also provided valuable input toward the proof of Theorem A.1 in the Appendix section and helped improve the formulation of Theorem A.7. Additionally, we appreciate his suggestions, which enhanced the overall presentation of this paper. We also express our gratitude to Prof. Mingu Jung for his helpful comments regarding the classification of isometric isomorphisms in Theorem 4.5, which contributed to clarifying our discussion on this topic. We also thank two anonymous referees whose insightful comments helped improve considerably the presentation, scope and results of this paper. The second author has been supported by the Research Grant PID2024–155890NB-I00 of the Spanish Ministry of Science and Innovation and by the Institute of Interdisciplinar Mathematics of Complutense University. | es_ES |
| dc.format.extent | 31 p. | es_ES |
| dc.language.iso | eng | es_ES |
| dc.publisher | Springer Nature | es_ES |
| dc.rights | © Tusi Mathematical Research Group (TMRG) | es_ES |
| dc.source | Banach Journal of Mathematical Analysis, 2026, 20(7), 1-31 | es_ES |
| dc.subject.other | Lp-spaces | es_ES |
| dc.subject.other | Continuum hypothesis | es_ES |
| dc.subject.other | Lebesgue measure | es_ES |
| dc.subject.other | Isometric classification | es_ES |
| dc.title | Isometric classification of the Lp -spaces of infinite dimensional Lebesgue measure | es_ES |
| dc.type | info:eu-repo/semantics/article | es_ES |
| dc.relation.publisherVersion | https://doi.org/10.1007/s43037-025-00473-y | es_ES |
| dc.rights.accessRights | embargoedAccess | es_ES |
| dc.identifier.DOI | 10.1007/s43037-025-00473-y | |
| dc.type.version | acceptedVersion | es_ES |
| dc.embargo.lift | 2027-01-08 | |
| dc.date.embargoEndDate | 2027-01-08 | |
