Resultados Recientes Sobre Espacios Polinomiales De Tipo Numerable.
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.
We investigate the extent to which sequence spaces are determined by the sequences of 0's and 1's that they contain.
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 .
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.