Back to Search
Start Over
The ergodicity of weak Hilbert spaces.
- Source :
-
Proceedings of the American Mathematical Society . Dec2009, Vol. 138 Issue 4, p1405-1413. 9p. - Publication Year :
- 2009
-
Abstract
- This paper complements a recent result of Dilworth, Ferenczi, Kutzarova and Odell regarding the ergodicity of strongly asymptotic $ell _p$ spaces. We state this result in a more general form, involving domination relations, and we show that every asymptotically Hilbertian space which is not isomorphic to $ell _2$ is ergodic. In particular, every weak Hilbert space which is not isomorphic to $ell _2$ must be ergodic. Throughout the paper we construct explicitly the maps which establish the fact that the relation $E_0$ is Borel reducible to isomorphism between subspaces of the Banach spaces involved. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 138
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 47274825