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Now showing items 1-5 of 5
Article
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 ...
Article
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 ...
Article
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 ...
Article
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