| Texto completo | |
| Autor(es): |
Anisca, Razvan
;
Ferenczi, Valentin
;
Moreno, Yolanda
Número total de Autores: 3
|
| Tipo de documento: | Artigo Científico |
| Fonte: | JOURNAL OF FUNCTIONAL ANALYSIS; v. 272, n. 9, p. 3845-3868, MAY 1 2017. |
| Citações Web of Science: | 1 |
| Resumo | |
A topological setting is defined to study the complexities of the relation of equivalence of embeddings (or ``position{''}) of a Banach space into another and of the relation of isomorphism of complex structures on a real Banach space. The following results are obtained: a) if X is not uniformly finitely extensible, then there exists a space Y for which the relation of position of Y inside X reduces the relation Bo and therefore is not smooth; b) the relation of position of l(p) inside l(p), or inside 4, p not equal 2, reduces the relation E1 and therefore is not reducible to an orbit relation induced by the action of a Polish group; c) the relation of position of a space inside another can attain the maximum complexity Emax; d) there exists a subspace of L-p, 1 <= p < 2, on which isomorphism between complex structures reduces E1 and therefore is not reducible to an orbit relation. induced by the action of a Polish group. (C) 2017 Elsevier Inc. All rights reserved. (AU) | |
| Processo FAPESP: | 13/11390-4 - Somas torcidas, posições, e Teoria de Ramsey em Espaços de Banach |
| Beneficiário: | Valentin Raphael Henri Ferenczi |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |
| Processo FAPESP: | 15/17216-1 - Somas torcidas e representações de grupos em espaços de Banach |
| Beneficiário: | Valentin Raphael Henri Ferenczi |
| Modalidade de apoio: | Bolsas no Exterior - Pesquisa |