Set quantities and Tauberian operators.
Small ball properties for Fréchet spaces.
We give characterizations of certain properties of continuous linear maps between Fréchet spaces, as well as topological properties on Fréchet spaces, in terms of generalizations of Behrends and Kadets small ball property.
Sobre ciertas clases de conjuntos en espacios localmente convexos.
In this paper we obtain several classes of separated locally convex spaces which are M-spaces. We give also some results on compact convex sets and new characterization of weak compactness.
Sobre espacios (LF) metrizables.
Some Results on Non-Semireflexive Spaces.
The equicontinuous week* topology and semi-reflexivity
Uniform convexity and associate spaces
We prove that the associate space of a generalized Orlicz space is given by the conjugate modular even without the assumption that simple functions belong to the space. Second, we show that every weakly doubling -function is equivalent to a doubling -function. As a consequence, we conclude that is uniformly convex if and are weakly doubling.
Weak countable compactness implies quasi-weak drop property
Every weakly countably compact closed convex set in a locally convex space has the quasi-weak drop property.
Weighted Fréchet spaces of holomorphic functions
This article deals with weighted Fréchet spaces of holomorphic functions which are defined as countable intersections of weighted Banach spaces of type . We characterize when these Fréchet spaces are Schwartz, Montel or reflexive. The quasinormability is also analyzed. In the latter case more restrictive assumptions are needed to obtain a full characterization.
О продолжении и подъеме равностепенно непрерывных множеств линейных отображений
Общий принцип локальной рефлексивности и его применения в теории двойственности конусов
Слабо компактные вложения симметричных пространств