| Full text | |
| Author(s): |
Cuellar Carrera, W.
Total Authors: 1
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| Document type: | Journal article |
| Source: | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY; v. 370, n. 12, p. 8691-8707, DEC 2018. |
| Web of Science Citations: | 0 |
| Abstract | |
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) | |
| FAPESP's process: | 14/25900-7 - Interpolation, twisted sums and borelian classes of Banach Spaces |
| Grantee: | Wilson Albeiro Cuellar Carrera |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |