Add to ORKGResearch partially supported by a grant of Caja de Ahorros del Mediterraneo.In this paper we study the property of having a countable cover by sets of small local diameter (SLD for short). We show that in the context of Banach spaces (JNR property) it implies that the Banach space is Cech-analytic. We also prove that to have the JNR property, to be σ- fragmentable and to have the same Borel sets for the weak and the norm topologies, they all are topological invariants of the weak topology. Finally, by means of “good” injections into c0 (Γ), we give a great class of Banach spaces with the JNR property
Weakly compact sets in Banach spaces are fragmentable. We introduce the weaker notion of the a-fragm...
A γ-space with a strictly positive measure is separable. An example of a non-separable γ−space with ...
AbstractGiven an injective bounded linear operator T:X→Y between Banach spaces, we study the Borel m...
In this paper we study the property of having a countable cover by sets of small local diameter (SLD...
AbstractWe characterize two topological properties in Banach spaces of type C(K), namely, being σ-fr...
In this thesis we give a sufficient condition on a Banach space for it to have the same weak and nor...
AbstractWe investigate non-separable Banach spaces whose norm-open sets are countable unions of sets...
AbstractWe show that every normed spaceEwith a weakly locally uniformly rotund norm has an equivalen...
AbstractIt is known that within metric spaces analyticity and K-analyticity are equivalent concepts....
Let us call a set A ⊆ ω^ω of functions from ω into ω σ-bounded if there is a countable sequence of f...
AbstractLet h:(A,weak)→(B,weak) be a homeomorphism where A and B are arbitrary subsets of (possibly ...
We prove that, given a topological space X, the following conditions are equivalent. (α) X is a Grue...
A topological space (T, τ) is said to be fragmented by a metric d on T if each non-empty subset of T...
AbstractMeasures of weak noncompactness are formulae that quantify different characterizations of we...
AbstractWe study conditions on Banach spaces close to separability. We say that a topological space ...
Weakly compact sets in Banach spaces are fragmentable. We introduce the weaker notion of the a-fragm...
A γ-space with a strictly positive measure is separable. An example of a non-separable γ−space with ...
AbstractGiven an injective bounded linear operator T:X→Y between Banach spaces, we study the Borel m...
In this paper we study the property of having a countable cover by sets of small local diameter (SLD...
AbstractWe characterize two topological properties in Banach spaces of type C(K), namely, being σ-fr...
In this thesis we give a sufficient condition on a Banach space for it to have the same weak and nor...
AbstractWe investigate non-separable Banach spaces whose norm-open sets are countable unions of sets...
AbstractWe show that every normed spaceEwith a weakly locally uniformly rotund norm has an equivalen...
AbstractIt is known that within metric spaces analyticity and K-analyticity are equivalent concepts....
Let us call a set A ⊆ ω^ω of functions from ω into ω σ-bounded if there is a countable sequence of f...
AbstractLet h:(A,weak)→(B,weak) be a homeomorphism where A and B are arbitrary subsets of (possibly ...
We prove that, given a topological space X, the following conditions are equivalent. (α) X is a Grue...
A topological space (T, τ) is said to be fragmented by a metric d on T if each non-empty subset of T...
AbstractMeasures of weak noncompactness are formulae that quantify different characterizations of we...
AbstractWe study conditions on Banach spaces close to separability. We say that a topological space ...
Weakly compact sets in Banach spaces are fragmentable. We introduce the weaker notion of the a-fragm...
A γ-space with a strictly positive measure is separable. An example of a non-separable γ−space with ...
AbstractGiven an injective bounded linear operator T:X→Y between Banach spaces, we study the Borel m...