Quasiminimality in mixed Tsirelson spaces
Functional Analysis
2009-06-30 v2
Abstract
We prove quasiminimality of the regular mixed Tsirelson spaces T[(S_n,\theta_n)_n] with the sequence (\frac{\theta_n}{\theta^n})_n decreasing, where \theta=\lim_n \theta_n^{1/n}, and quasiminimality of all mixed Tsirelson spaces T[(A_n,\theta_n)_n]. We prove that under certain assumptions on the sequence (\theta_n)_n the dual spaces are quasiminimal.
Cite
@article{arxiv.0812.4711,
title = {Quasiminimality in mixed Tsirelson spaces},
author = {Antonis Manoussakis and Anna Maria Pelczar},
journal= {arXiv preprint arXiv:0812.4711},
year = {2009}
}
Comments
26 pages, assumptions of Theorem 4.10 revised, corrected typos