Baire-like spaces C(X,E)
We characterize Baire-like spaces Cc(X,E) of continuous functions defined on a locally compact and Hewitt space X into a locally convex space E endowed with the compact-open topology.
Banach-Steinhauss theorem in quasi normed spaces
Barreledness of subspaces of countable codimension and the closed graph theorem
Barrelled Spaces with a B-Complete Completion.
Barrelled spaces with Boolean rings of projections.
The talk presented a survey of results most of which have been obtained over the last several years in collaboration with M.Florencio and P.J.Paúl (Seville). The results concern the question of barrelledness of locally convex spaces equipped with suitable Boolean algebras or rings of projections. They are particularly applicable to various spaces of measurable vector valued functions. Some of the results are provided with proofs that are much simpler than the original ones.
Barrelledness and Schwartz Spaces.
Barrelledness and the Supremum of Two Locally Convex Topologies.
Barrelledness Conditions on S (...;E) and B(...;E).
Barrelledness of generalized sums of normed spaces
Let be a family of normed spaces and a space of scalar generalized sequences. The -sum of the family of spaces is Starting from the topology on and the norm topology on each a natural topology on can be defined. We give conditions for to be quasi-barrelled, barrelled or locally complete.
Barrelledness of Lb(E,X) given a Banach space X and a Köthe sequence space E.
Barrelledness of the Space of Vector Valued and Simple Functions.
Bases in bornological spaces
Biequivalence vector spaces in the alternative set theory
As a counterpart to classical topological vector spaces in the alternative set theory, biequivalence vector spaces (over the field of all rational numbers) are introduced and their basic properties are listed. A methodological consequence opening a new view towards the relationship between the algebraic and topological dual is quoted. The existence of various types of valuations on a biequivalence vector space inducing its biequivalence is proved. Normability is characterized in terms of total...
Bornological and Ultrabornological C(X;E) Spaces.
Bornological and Ultrabornological Spaces of Type C(X, F) andE&F .
Bornological spaces of type
Bounded sets in .
Bounded sets in topological vector spaces.
Boundedly barrelled spaces and the open mapping theorem