A projective description of the simple scalar function space.
A Property of Locally Convex Baire Spaces.
A remark on hereditary properties of linear topological spaces
A Solution to a Problem of de Wilde and Tsirulnikov.
A solution to a problem of De Wilde - Tsirulnikov
A splitting theory for the space of distributions
The splitting problem is studied for short exact sequences consisting of countable projective limits of DFN-spaces (*) 0 → F → X → G → 0, where F or G are isomorphic to the space of distributions D'. It is proved that every sequence (*) splits for F ≃ D' iff G is a subspace of D' and that, for ultrabornological F, every sequence (*) splits for G ≃ D' iff F is a quotient of D'
A theorem on matrices and its applications in functional analysis
A useful algebra for functional calculus
We show that some unital complex commutative LF-algebra of -tempered functions on (M. Hemdaoui, 2017) equipped with its natural convex vector bornology is useful for functional calculus.
Absolutely convex sets in barrelled spaces
If is an increasing sequence of absolutely convex sets, in a barrelled space , such that , it is deduced some properties of from the properties of the sets of . It is shown that in a barrelled space any subspace of infinite countable codimension, is barrelled.
Abstract sliding hump technique and characterization of barrelled spaces
Addendum to: "Sequences of 0's and 1's" (Studia Math. 149 (2002), 75-99)
There is a nontrivial gap in the proof of Theorem 5.2 of [2] which is one of the main results of that paper and has been applied three times (cf. [2, Theorem 5.3, (G) in Section 6, Theorem 6.4]). Till now neither the gap has been closed nor a counterexample found. The aim of this paper is to give, by means of some general results, a better understanding of the gap. The proofs that the applications hold will be given elsewhere.
Adjungierte Funktoren in der Kategorie der p-Bornologischen Räume.
Algunas propiedades de los espacios de aplicaciones continuas sobre acotados.
An abstract uniform boundedness result
An application of homological methods to locally convex groups
Analogies entre l'holomorphie et la linéarité
Analytic functionals on fully nuclear spaces
Aronszajn-Kolmogorov type theorems for positive definite kernels in locally convex spaces
Automatic continuity, local type and causality