The Nikodym property and local properties of Boolean algebras
We study local interpolation properties and local supremum properties for a Boolean algebra. In particular, we present a new condition that is sufficient for the Nikodym property.
On some geometric properties in C(K,X) and C(K,X)*.
Relaciones entre propiedades de supremo y propiedades de interpolación en álgebras de Boole.
The Bade property and the λ-property in spaces of convergent sequences.
In this note we study the Bade property in the C(K,X) and c(X) spaces. We also characterize the spaces X = C(K,R) such that c(X) has the uniform λ-property.
-Summand Vectors and Complemented Hilbertizable Subspaces
In this paper, we show a necessary and sufficient condition for a real Banach space to have an infinite dimensional subspace which is hilbertizable and complemented using techniques related to -summand vectors.
Hausdorff compactifications of completely regular spaces
Characterizations of completeness of normed spaces through weakly unconditionally Cauchy series
In this paper we obtain two new characterizations of completeness of a normed space through the behaviour of its weakly unconditionally Cauchy series. We also prove that barrelledness of a normed space can be characterized through the behaviour of its weakly- unconditionally Cauchy series in .
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