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(Referência obtida automaticamente do Web of Science, por meio da informação sobre o financiamento pela FAPESP e o número do processo correspondente, incluída na publicação pelos autores.)

On the classification of positions and complex structures in Banach spaces

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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: 15/17216-1 - Somas torcidas e representações de grupos em espaços de Banach
Beneficiário:Valentin Raphael Henri Ferenczi
Linha de fomento: Bolsas no Exterior - Pesquisa
Processo FAPESP: 13/11390-4 - Somas torcidas, posições, e Teoria de Ramsey em Espaços de Banach
Beneficiário:Valentin Raphael Henri Ferenczi
Linha de fomento: Auxílio à Pesquisa - Regular