21 citations · 101 across the 38 of their papers we have counts for
4 papers · 1 filter
On the Bishop-Phelps-Bollobas property for numerical radius in C(K)-spaces
Antonio Avilés, Antonio J. Guirao, José Rodríguez
We study the Bishop-Phelps-Bollobas property for numerical radius within the framework of C(K) spaces. We present several sufficient conditions on a compact space K ensuring that C…
A Banach space in which every injective operator is surjective
Antonio Avilés, Piotr Koszmider
We construct an infinite dimensional Banach space of continuous functions C(K) such that every one-to-one operator on C(K) is onto.
Basis problem for analytic multiple gaps
Antonio Avilés, Stevo Todorcevic
A k-gap is a finite k-sequence of pairwise disjoint monotone families of infinite subsets of N mixed in such a way that we cannot find a partition of N such that each family is tri…
On Baire measurability in spaces of continuous functions
Antonio Avilés, Grzegorz Plebanek, José Rodríguez
Let C(K) be the Banach space of all continuous functions on a given compact space K. We investigate the w*-sequential closure in C(K)* of the set of all finitely supported probabil…