A. Avilés

activity

20092026

most citedThe Schur l1 Theorem for filters

21 citations · 101 across the 38 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.FA2015

Weakly compactly generated Banach lattices

Antonio Avilés, Antonio J. Guirao, Sebastián Lajara +2

We study the different ways in which a weakly compact set can generate a Banach lattice. Among other things, it is shown that in an order continuous Banach lattice $X$ , the existen…

math.GN2015

Rosenthal compacta that are premetric of finite degree

Antonio Avilés, Alejandro Poveda, Stevo Todorcevic

We show that if a separable Rosenthal compactum $K$ is an $n$ -to-one preimage of a metric compactum, but it is not an $n - 1$ -to-one preimage, then $K$ contains a closed subset homeo…

math.FA2015

Extension operators on balls and on spaces of finite sets

Antonio Avilés, Witold Marciszewski

We study extension operators between spaces $σ_{n} (2^{X})$ of subsets of $X$ of cardinality at most $n$ . As an application, we show that if $B_{H}$ is the unit ball of a nonseparable Hil…