| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Sao Paulo, Inst Matemat & Estat, Dept Matemat, Rua Matao 1010, BR-05508090 Sao Paulo, SP - Brazil
[2] Sorbonne Univ, UPMC, Inst Math Jussieu, Equipe Anal Fonct, Case 247, 4 Pl Jussieu, F-75252 Paris 05 - France
[3] MacEwan Univ, Dept Math & Stat, 10700-104 Ave, Edmonton, AB T5J 4S2 - Canada
Total Affiliations: 3
|
| Document type: | Journal article |
| Source: | Proceedings of the American Mathematical Society; v. 148, n. 11, p. 4845-4854, NOV 2020. |
| Web of Science Citations: | 0 |
| Abstract | |
We prove that every isometry between two combinatorial spaces is determined by a permutation of the canonical unit basis combined with a change of signs. As a consequence, we show that in the case of Schreier spaces, all the isometries are given by a change of signs of the elements of the basis. Our results hold for both the real and the complex cases. (AU) | |
| FAPESP's process: | 16/25574-8 - Geometry of Banach Spaces |
| Grantee: | Valentin Raphael Henri Ferenczi |
| Support Opportunities: | Research Projects - Thematic Grants |