| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Sao Paulo, Inst Maternat & Estat, BR-0550890 Sao Paulo - Brazil
[2] Univ Paris 06, Inst Math Jussieu, F-75252 Paris 05 - France
[3] Univ Illinois, Dept Math Stat & Comp Sci MC 249, Chicago, IL 60607 - USA
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | Duke Mathematical Journal; v. 162, n. 10, p. 1771-1831, JUL 15 2013. |
| Web of Science Citations: | 6 |
| Abstract | |
We study problems of maximal symmetry in Banach spaces. This is done by providing an analysis of the structure of small subgroups of the general linear group GL(X), where X is a separable reflexive Banach space. In particular, we provide the first known example of a Banach space X without any equivalent maximal norm, or equivalently such that GL(X) contains no maximal bounded subgroup. Moreover, this space X may be chosen to be super-reflexive. (AU) | |
| FAPESP's process: | 10/05182-1 - Functional Analysis Valencia 2010 |
| Grantee: | Valentin Raphael Henri Ferenczi |
| Support Opportunities: | Research Grants - Meeting - Abroad |
| FAPESP's process: | 10/17493-1 - Linearly isomorphic structures and isometric structures in Banach spaces |
| Grantee: | Valentin Raphael Henri Ferenczi |
| Support Opportunities: | Regular Research Grants |