| Full text | |
| Author(s): |
Candido, Leandro
;
Cuth, Marek
;
Smetana, Ondrej
Total Authors: 3
|
| Document type: | Journal article |
| Source: | PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS; v. N/A, p. 25-pg., 2024-08-27. |
| Abstract | |
We exhibit a new approach to the proofs of the existence of a large family of almost isometric ideals in nonseparable Banach spaces and existence of a large family of almost isometric local retracts in metric spaces. Our approach also implies the existence of a large family of nontrivial projections on every dual of a nonseparable Banach space. We prove three possible formulations of our results are equivalent. Some applications are mentioned which witness the usefulness of our novel approach. (AU) | |
| FAPESP's process: | 23/12916-1 - Geometry of Banach spaces |
| Grantee: | Valentin Raphael Henri Ferenczi |
| Support Opportunities: | Research Projects - Thematic Grants |