6 citations · 33 across the 36 of their papers we have counts for
8 papers · 1 filter
Amalgamation and Ramsey properties of spaces
V. Ferenczi, J. Lopez-Abad, B. Mbombo +1
We study the dynamics of the group of isometries of -spaces. In particular, we study the canonical actions of these groups on the space of -isometric embeddings of finite d…
Homogeneous families on trees and subsymmetric basic sequences
Christina Brech, Jordi Lopez-Abad, Stevo Todorcevic
We study density requirements on a given Banach space that guarantee the existence of subsymmetric basic sequences by extending Tsirelson's well-known space to larger index sets. W…
Positional graphs and conditional structure of weakly null sequences
J. Lopez-Abad, S. Todorcevic
We prove that, unless assuming additional set theoretical axioms, there are no reflexive space without unconditional sequences of density the continuum. We give for every integer $…
Zero subspaces of polynomials on l1(Gamma)
Antonio Avilés, Stevo Todorcevic
We provide two examples of complex homogeneous quadratic polynomials P on Banach spaces of the form l_1(I). The first polynomial P has both separable and nonseparable maximal zero…
Unconditional basic sequences in spaces of large density
Pandelis Dodos, Jordi Lopez Abad, Stevo Todorcevic
We study the problem of the existence of unconditional basic sequences in Banach spaces of high density. We show, in particular, the relative consistency with GCH of the statement…
A -saturated Banach space with no long unconditional basic sequences
Jordi Lopez Abad, Stevo Todorcevic
We present a Banach space with a Schauder basis of length which is saturated by copies of and such that for every closed decomposition of a closed subsp…
A class of Banach spaces with few non strictly singular operators
S. A. Argyros, J. Lopez-Abad, S. Todorcevic
We construct a family $(\mathcal{X}_\al)_{\al\le ω_1}$ of reflexive Banach spaces with long transfinite bases but with no unconditional basic sequences. In our spaces $\mathcal{X}_…
Kadec norms on spaces of continuous functions
Max Burke, Wieslaw Kubis, Stevo Todorcevic
We study the existence of pointwise Kadec renormings for Banach spaces of the form . We show in particular that such a renorming exists when is any product of compact lin…