| Texto completo | |
| Autor(es): |
Ferenczi, Valentin
;
Rosendal, Christian
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU; v. 16, n. 2, p. 421-445, APR 2017. |
| Citações Web of Science: | 0 |
| Resumo | |
We investigate questions of maximal symmetry in Banach spaces and the structure of certain bounded non-unitarisable groups on Hilbert space. In particular, we provide structural information about bounded groups with an essentially unique invariant complemented subspace. This is subsequently combined with rigidity results for the unitary representation of Aut(T) on l(2)(T), where T is the countably infinite regular tree, to describe the possible bounded subgroups of GL(H) extending a well-known non-unitarisable representation of F infinity. As a related result, we also show that a transitive norm on a separable Banach space must be strictly convex. (AU) | |
| Processo FAPESP: | 13/11390-4 - Somas torcidas, posições, e Teoria de Ramsey em Espaços de Banach |
| Beneficiário: | Valentin Raphael Henri Ferenczi |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |