| Affiliation: | Departamento Análisis Matemático, Universidad Complutense de Madrid, 28040 Madrid, Spain and Mathematical Institute, Czech Academy of Science, Zitná 25, Prague, Czech Republic ; Departmento Análisis Matemático, Universidad Complutense de Madrid, 28040 Madrid, Spain and Department of Mathematics and Informatics, Sofia University, 5, James Bourchier Blvd., 1126 Sofia, Bulgaria |
| Abstract: | It is shown that an Orlicz sequence space  admits an equivalent analytic renorming if and only if it is either isomorphic to  or isomorphically polyhedral. As a consequence, we show that there exists a separable Banach space admitting an equivalent  -Fréchet norm, but no equivalent analytic norm. |
