4 citations · 7 across the 12 of their papers we have counts for
6 papers · 1 filter
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…
Weakly countably determined spaces of high complexity
Antonio Avilés
We prove that there exist weakly countably determined spaces of complexity higher than coanalytic. On the other hand, we also show that coanalytic sets can be characterized by the…
Automorphisms in spaces of continuous functions on Valdivia compacta
Antonio Avilés, Yolanda Moreno
We show that there are no automorphic Banach spaces of the form C(K) with K continuous image of Valdivia compact except the spaces c0(I). Nevertheless, when K is an Eberlein compac…
Renormings of the dual of James tree spaces
Antonio Avilés
We discuss renorming properties of the dual of a James tree space JT. We present examples of weakly Lindelof determined JT such that JT* admits neither strictly convex nor Kadec re…
The number of weakly compact sets which generate a Banach space
Antonio Avilés
We consider the cardinal invariant CG(X) of the minimal number of weakly compact subsets which generate a Banach space X. We study the behavior of this index when passing to subspa…
Slicely Countably Determined Banach spaces
Antonio Aviles, Vladimir Kadets, Miguel Martin +2
We introduce the class of slicely countably determined Banach spaces which contains in particular all spaces with the RNP and all spaces without copies of . We present many…