A remark on the structure of the Busemann representative of a polyconvex function
| dc.creator | Bevan, J. J | |
| dc.date | 2008-09-23 | |
| dc.date.accessioned | 2026-07-07T10:04:40Z | |
| dc.date.available | 2026-07-07T10:04:40Z | |
| dc.description | Let W be a polyconvex function defined on the 2 x 2 real matrices. The Busemann representative f, say, of W is the largest possible convex representative of W. Writing L for the set of affine functions on R^{5} such that a(A, det A) is less than or equal to W(A) for all 2 x 2 real matrices A, f can then be expressed as f(X) = sup {a(X): a lies in L}. This short note proves the surprising result that f is in general strictly larger than the `natural' convex representative g(X) = sup {a(X): a lies in L and a(A, det A)=W(A) for some A}. | |
| dc.identifier | https://arxiv.org/abs/0809.3921 | |
| dc.identifier | http://arxiv.org/abs/0809.3921 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/169764 | |
| dc.subject | Functional Analysis | |
| dc.subject | 26B25; 52A40; 47J30 | |
| dc.title | A remark on the structure of the Busemann representative of a polyconvex function | |
| dc.type | text |