3 citations · 3 across the 6 of their papers we have counts for
6 papers
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…
Note on distortion and Bourgain index
Anna Maria Pelczar
The relation between different notions measuring proximity to and distortability of a Banach space is studied. The main result states that a Banach space, whose all subspa…
Stabilization of Tsirelson-type norms on spaces
Anna Maria Pelczar
We consider classical Tsirelson-type norms of and their modified versions on spaces. We show that for any there is a constant such that consi…
On a question of Haskell P. Rosenthal
Valentin Ferenczi, Anna Maria Pelczar, Christian Rosendal
We consider a normalized basis in a Banach space with the following property: any normalized block sequence of the basis has a subsequence equivalent to the basis. We show that und…
Subsymmetric sequences and minimal spaces
Anna Maria Pelczar
We show that every Banach space saturated with subsymmetric sequences contains a minimal subspace.