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On the hereditary proximity to
Spiros A. Argyros, Antonis Manoussakis, Anna M. Pelczar
In the first part of the paper we present and discuss concepts of local and asymptotic hereditary proximity to \ell_1. The second part is devoted to a complete separation of the he…
Quasiminimality in mixed Tsirelson spaces
Antonis Manoussakis, Anna Maria Pelczar
We prove quasiminimality of the regular mixed Tsirelson spaces T[(S_n,θ_n)_n] with the sequence (\frac{θ_n}{θ^n})_n decreasing, where θ=\lim_n θ_n^{1/n}, and quasiminimality of all…
Minimality properties of Tsirelson type spaces
Denka Kutzarova, Denny Leung, Antonis Manoussakis +1
In this paper, we study minimality properties of partly modified mixed Tsirelson spaces. A Banach space with a normalized basis (e_k) is said to be subsequentially minimal if for e…
A classification of Tsirelson type spaces
Jordi Lopez Abad, Antonis Manoussakis
We give a complete classification of mixed Tsirelson spaces T[(F\_i, theta\_i)\_{i=1}^r ] for finitely many pairs of given compact and hereditary families F\_i of finite sets of in…