Schauder bases and reflexivity
Semi-bornological spaces.
Separable quotients of Banach spaces.
In this survey we show that the separable quotient problem for Banach spaces is equivalent to several other problems for Banach space theory. We give also several partial solutions to the problem.
Sequences in locally convex spaces
Sequences of 0's and 1's
We investigate the extent to which sequence spaces are determined by the sequences of 0's and 1's that they contain.
Sequential convergence in topological vector spaces.
Sequentially m-barrelled algebras.
Sobre el teorema de la gráfica cerrada. Teorema de Banach-Schauder.
Sobre espacios (LF) metrizables.
Sobre la categoria semi-convexa de hiperplanos y productos de espacios vectoriales topológicos de Baire.
Sobre M-tonelación y dual local completitud en espacios de funciones continuas con valores vectoriales provistos de la topología de la convergencia puntual.
Some aspects of the theory of barreled spaces
Some characterizations of ultrabornological spaces
Let be an infinite-dimensional separable Fréchet space with a topology defined by a family of norms. Let be an infinite-dimensional Banach space. Then is the inductive limit of a family of spaces equal to . The choice of suitable classes of Fréchet spaces allows to give characterizations of ultrabornological spaces using the result above.. Let be a non-empty open set in the euclidean -dimensional space . Then is the inductive limit of a family of spaces equal to .
Some Classes of Locally Convex Riesz Spaces
Some criteria for weak compactness.
Some Dense Barrelled Subspaces of ... and Incomplete ...-Spaces.
Some examples on quasi-barrelled spaces
The three following examples are given: a bornological space containing a subspace of infinite countable codimension which is not quasi-barrelled, a quasi-barrelled -space containing a subspace of infinite countable codimension which is not -space, and bornological barrelled space which is not inductive limit of Baire space.
Some new classes of Banach-Mackey spaces.
Some Normed Barrelled Spaces which are not Baire.
Some notes on convex sets.