| dc.rights.license | https://creativecommons.org/licenses/by-sa/2.5/ar/ | es_AR |
| dc.contributor.author | Zalduendo, Ignacio | es_AR |
| dc.contributor.author | Aron, Richard | es_AR |
| dc.contributor.author | García, Domingo | es_AR |
| dc.contributor.author | Pinasco, Damián | es_AR |
| dc.date.accessioned | 2023-02-28T18:54:25Z | |
| dc.date.available | 2023-02-28T18:54:25Z | |
| dc.date.issued | 2023 | |
| dc.identifier.uri | https://repositorio.utdt.edu/handle/20.500.13098/11648 | |
| dc.identifier.uri | https://doi.org/10.1007/s13398-022-01337-y | |
| dc.description.abstract | We prove the following Farkas’ Lemma for simultaneously diagonalizable bilinear forms:
If A1, . . . , Ak, and B : Rn × Rn → R are bilinear forms, then one—and only one—of the
following holds:
(i) B = a1A1 +· · ·+ak Ak , with non-negative ai ’s,
(ii) there exists (x, y) for which A1(x, y) ≥ 0, . . . , Ak (x, y) ≥ 0 and B(x, y) < 0.
We study evaluation maps over the space of bilinear forms and consequently construct examples
in which Farkas’ Lemma fails in the bilinear setting. | es_AR |
| dc.format.extent | 10 p. | es_AR |
| dc.format.medium | application/pdf | es_AR |
| dc.language | eng | es_AR |
| dc.publisher | Real Academia de Ciencias Exactas, Físicas y Naturales | es_AR |
| dc.relation.ispartof | Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas 117, 6 (2023). | es_Ar |
| dc.rights | info:eu-repo/semantics/openAccess | es_AR |
| dc.subject | Bilinear Forms | es_AR |
| dc.subject | Evaluation maps | es_AR |
| dc.subject | 46G25 · 47A07 · 15A69 | es_AR |
| dc.title | Farkas’ Lemma in the bilinear setting and evaluation functionals | es_AR |
| dc.type | info:eu-repo/semantics/article | es_AR |
| dcterms.identifier | 1579-1505 | |
| dcterms.identifier | Aron, R., García, D., Pinasco, D. et al. Farkas’ Lemma in the bilinear setting and evaluation functionals. Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 117, 6 (2023). https://doi.org/10.1007/s13398-022-01337-y | en |
| dc.subject.keyword | Farka's Lemma | es_AR |
| dc.type.version | info:eu-repo/semantics/publishedVersion | es_AR |
