| Full text | |
| Author(s): |
Total Authors: 4
|
| Affiliation: | [1] Univ Extremadura, Dept Math, Avda Elvas S-N, Badajoz 06011 - Spain
[2] Univ Sao Paulo, Inst Matemat & Estadist, R Matao 1010, Butanta, SP - Brazil
[3] Univ Sao Paulo, Dept Matemat, Inst Matemat & Estat, Rua Matao 1010, BR-05508090 Sao Paulo - Brazil
[4] Univ Pierre & Marie Curie Paris 6, Equipe Analyse Fonct, Inst Math Jussieu, Case 247, 4 Pl Jussieu, F-75252 Paris 05 - France
[5] Univ Extremadura, Dept Matemat, Escuela Politecn, Ave Univ S-N, Caceres 10071 - Spain
Total Affiliations: 5
|
| Document type: | Journal article |
| Source: | Israel Journal of Mathematics; v. 222, n. 2, p. 787-814, OCT 2017. |
| Web of Science Citations: | 1 |
| Abstract | |
We investigate complex structures on twisted Hilbert spaces, with special attention paid to the Kalton-Peck Z(2) space and to the hyperplane problem. For any non-trivial twisted Hilbert space, we show there are always complex structures on the natural copy of the Hilbert space that cannot be extended to the whole space. Regarding the hyperplane problem we show that no complex structure on l(2) can be extended to a complex structure on a hyperplane of Z(2) containing it. (AU) | |
| FAPESP's process: | 10/17512-6 - Banach spaces with various complex structures |
| Grantee: | Wilson Albeiro Cuellar Carrera |
| Support Opportunities: | Scholarships in Brazil - Doctorate |
| FAPESP's process: | 15/17216-1 - Twisted sums and group representations in Banach spaces |
| Grantee: | Valentin Raphael Henri Ferenczi |
| Support Opportunities: | Scholarships abroad - Research |
| FAPESP's process: | 14/25900-7 - Interpolation, twisted sums and borelian classes of Banach Spaces |
| Grantee: | Wilson Albeiro Cuellar Carrera |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| 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 |