| Full text | |
| Author(s): |
Ferenczi, Valentin
;
Rosendal, Christian
Total Authors: 2
|
| Document type: | Journal article |
| Source: | JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU; v. 16, n. 2, p. 421-445, APR 2017. |
| Web of Science Citations: | 0 |
| Abstract | |
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) | |
| FAPESP's process: | 13/11390-4 - Twisted sums, positions and Ramsey theory in Banach Spaces |
| Grantee: | Valentin Raphael Henri Ferenczi |
| Support Opportunities: | Regular Research Grants |