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Artículo
Complemented copies of c0 in vector-valued Köthe-Dieudonné function spaces
(Springer, 1992)
Let [Lambda] be a barrelled perfect (in the sense of J. Dieudonné) Köthe space of measurable functions defined on an atomless finite Radon measure space. Let X be a Banach space containing a copy of c0, then the space ...
Artículo
The space of countably simple bounded functions with values in a DF-space
(Universidad Complutense de Madrid, 1994)
We study the possibility of lifting some properties, as being a (barreled, quasi-barreled, bornological, or ultrabornological) DF, gDF, or quasi-normable space, from a locally convex space E to the space S ,\ 0(m,E) , ...
Artículo
The space of Pettis integrable functions is barrelled
(American Mathematical Society, 1992)
It is well known that the normed space of Pettis integrable functions from a finite measure space to a Banach space is not complete in general. Here we prove that this space is always barrelled; this tells us that we may ...
Artículo
Köthe echelon spaces à la Dieudonné
(Elsevier, 1994)
Let (gn) be a sequence of locally integrable functions defined on a Radon measure space. The echelon space associated to (gn) was defined by J. Dieudonné as the Köthe-dual of (gn), i.e. the space Λ of all locally integrable ...
Artículo
Duals of vector-valued Köthe function spaces
(Cambridge University Press, 1992)
Let Λ be a perfect Köthe function space in the sense of Dieudonné, and Λ× its Köthe-dual. Let E be a normed space. Then the topological dual of the space Λ(E) of Λ-Bochner integrable functions equals the corresponding ...
Artículo
On the Mikusiński-Antosik diagonal theorem
(De Gruyter Open, 1992)
We give and improvement cf de Mikusinski-Antosik Diagonal Theorem. From this result we obtain as corollaries the other matrix lemmas used by P. Antosik and C. Swartz, showing that they have a common character
Artículo
A Wide Class of Ultrabornological Spaces of Measurable Functions
(Elsevier, 1995)
Our main result states that a bornological locally convex space having a suitable Boolean algebra of projections is ultrabornological. This general theorem, whose proof is a variation of the sliding-hump techniques used ...