Christian Rosendal | University of Illinois at Chicago - United States
Linearly isomorphic structures and isometric structures in Banach spaces
| Full text | |
| Author(s): |
Ferenczi, V.
;
Schlumprecht, Th.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY; v. 106, p. 40-pg., 2013-01-01. |
| Abstract | |
We define block sequences (x(n)) in every block subspace of a variant of the space of Gowers and Maurey, so that the map x(2n-1) x(2n) extends to an isomorphism. This implies the existence of a subsequentially minimal HI space, which solves a question in V. Ferenczi and C. Rosendal ('Banach spaces without minimal subspaces', J. Funct. Anal. 257 (2009) 149-193). (AU) | |
| 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 |