Some more twisted Hilbert spaces
[EN] We provide three new examples of twisted Hilbert spaces by considering prop-erties that are "close" to Hilbert. We denote them Z(J), Z(S2) and Z(Ts2). The first space is asymptotically Hilbertian but not weak Hilbert. On the opposite side, Z(S2) and Z(Ts2) are not asymptotically Hilbe...
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universidad de León |
| Repositorio: | BULERIA. Repositorio Institucional de la Universidad de León |
| OAI Identifier: | oai:buleria.unileon.es:10612/19952 |
| Acceso en línea: | https://afm.journal.fi/article/view/110591 https://hdl.handle.net/10612/19952 |
| Access Level: | acceso abierto |
| Palabra clave: | Matemáticas Weak Hilbert Interpolation Wisted Hilbert Centralizer 1202.14 Espacio de Hilbert |
| Sumario: | [EN] We provide three new examples of twisted Hilbert spaces by considering prop-erties that are "close" to Hilbert. We denote them Z(J), Z(S2) and Z(Ts2). The first space is asymptotically Hilbertian but not weak Hilbert. On the opposite side, Z(S2) and Z(Ts2) are not asymptotically Hilbertian. Moreover, the space Z(Ts2) is a HAPpy space and the technique to prove it gives a "twisted" version of a theorem of Johnson and Szankowski (Ann. of Math. 176:1987-2001, 2012). This is, we can construct a nontrivial twisted Hilbert space such that the isomorphism con-stant from its n-dimensional subspaces to ln2 grows to infinity as slowly as we wish when n -> infinity. |
|---|