| Texto completo | |
| Autor(es): |
Cuellar Carrera, W.
Número total de Autores: 1
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| Tipo de documento: | Artigo Científico |
| Fonte: | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY; v. 370, n. 12, p. 8691-8707, DEC 2018. |
| Citações Web of Science: | 0 |
| Resumo | |
We prove that a non-ergodic Banach space must be near Hilbert. In particular, l(p), (2 < p < infinity) is ergodic. This reinforces the conjecture that l(2) is the only non-ergodic Banach space. As an application of our criterion for ergodicity, we prove that there is no separable Banach space which is complementably universal for the class of all subspaces of l(p), for 1 <= p <= 2. This solves a question left open by W. B. Johnson and A. Szankowski in 1976. (AU) | |
| Processo FAPESP: | 14/25900-7 - Interpolação, somas torcidas e classes borelianas de Espaços de Banach |
| Beneficiário: | Wilson Albeiro Cuellar Carrera |
| Modalidade de apoio: | Bolsas no Brasil - Pós-Doutorado |