151400 20251017144630.0 doi 10.1007/s43037-024-00400-7 sideral 143119 ART-2025-143119 eng García-Lirola, Luis C. Universidad de Zaragoza (orcid)0000-0001-9211-4475 Projective tensor products where every element is norm-attaining 2025 Access copy available to the general public Unrestricted In this paper we analyse when every element of attains its projective norm. We prove that this is the case if X is the dual of a subspace of a predual of an space and Y is 1-complemented in its bidual under approximation property assumptions. This result allows us to provide some new examples where X is a Lipschitz-free space. We also prove that the set of norm-attaining elements is dense in if, for instance, and Y is any Banach space, or if X has the metric -property and Y is a dual space with the RNP. info:eu-repo/grantAgreement/ES/DGA/E48-23R info:eu-repo/grantAgreement/ES/MICINN-AEI-FEDER/PID2021-122126NB-C31 info:eu-repo/grantAgreement/ES/MICINN/PID2022-137294NB-I00 info:eu-repo/semantics/openAccess by https://creativecommons.org/licenses/by/4.0/deed.es info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Guerrero-Viu, Juan Universidad de Zaragoza Rueda Zoca, Abraham 2006 015 Universidad de Zaragoza Dpto. Matemáticas Área Análisis Matemático 19, 2 (2025), 20 pp. Banach Journal of Mathematical Analysis Banach Journal of Mathematical Analysis 2662-2033 550900 http://zaguan.unizar.es/record/151400/files/texto_completo.pdf Versión publicada 1033576 http://zaguan.unizar.es/record/151400/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:151400 articulos driver 2025-10-17-14:26:01 ARTICLE