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A geometric proof of a theorem about non-dual renormings |
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| Authors: | Libor Veselý |
| Affiliation: | Dipartimento di Matematica, Università degli Studi di Milano, Via C. Saldini 50, 20133 Milano, Italy |
| Abstract: | We give a simple geometric proof of a result by Davis and Johnson that every nonreflexive Banach space  admits an equivalent norm in which  is not isometric to a dual space. Moreover, our renorming keeps unchanged the original norm on a given finite-codimensional subspace and makes this subspace norm-one complemented. |
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