Multifunctions with convex closed graph
Normed barrelled spaces
In this paper we present a general “gliding hump” condition that implies the barrelledness of a normed vector space. Several examples of subspaces of are shown to be barrelled using the theorem. The barrelledness of the space of Pettis integrable functions is also implied by the theorem (this was first shown in [3]).
Nouvelles classes d'espaces localement convexes
Nuclear and Product Spaces, Baire-Like Spaces, and the Strongest Locally Convex Topology.
On a Barrelled Space of Class ... and Measure Theory.
On a Class of Quasi-barrelled Spaces.
On a class of reflexive spaces related to Ulam's conjecture on measurable cardinals.
On a result of Adasch and Ernst.
On -completeness
In this paper it is proved that if and are two sequences of infinite-dimensional Banach spaces then is not -complete. If and are also reflexive spaces there is on a separated locally convex topology , coarser than the initial one, such that is a bornological barrelled space which is not an inductive limit of Baire spaces. It is given also another results on -completeness and bornological spaces.
On barrelled topological modules.
On certain barrelled normed spaces
Let be a -algebra on a set . If belongs to let be the characteristic function of . Let be the linear space generated by endowed with the topology of the uniform convergence. It is proved in this paper that if is an increasing sequence of subspaces of covering it, there is a positive integer such that is a dense barrelled subspace of , and some new results in measure theory are deduced from this fact.
On decomposition in barrelled spaces
On exhaustive vector measures.
On final topologies.
On Inductive Limits of Banach Spaces.
On linearly topologized spaces and -spaces
On Locally Convex Spaces Ordered by a Basis.
On nonbornological barrelled spaces
If is the topological product of a non-countable family of barrelled spaces of non-nulle dimension, there exists an infinite number of non-bornological barrelled subspaces of . The same result is obtained replacing “barrelled” by “quasi-barrelled”.
On polynomially semibornological locally convex spaces
On Quasibarrelled Spaces.