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.
Barycenters, Extreme Points, and Strongly Extreme Points.
Bases and basic sequences in F-spaces
Bases de Schauder dans certains espaces de fonctions holomorphes
On étudie les bases de Schauder pour fonctions holomorphes et leurs applications à l’approximation et interpolation.Après avoir établi quelques faits généraux sur les bases et semi-bases, on les applique à l’étude des bases formées par une suite simple de polynômes.L’effort principal est porté sur la preuve de l’existence d’une “bonne” base commune des espaces des fonctions holomorphes sur et , où est un domaine de et un compact dans tels que soit un domaine régulier pour le problème...
Bases de Schauder dans certains espaces vectoriels topologiques
Bases in bornological spaces
Bases in solution sheaves of systems of partial differential equations.
Bases in spaces of analytic germs
We prove precise decomposition results and logarithmically convex estimates in certain weighted spaces of holomorphic germs near ℝ. These imply that the spaces have a basis and are tamely isomorphic to the dual of a power series space of finite type which can be calculated in many situations. Our results apply to the Gelfand-Shilov spaces and for α > 0 and to the spaces of Fourier hyperfunctions and of modified Fourier hyperfunctions.
Bases in Spaces of Ultradifferentiable Functions with Compact Support.
Bases, lacunary sequences and complemented subspaces in the spaces
Basic sequences in (s)
Basic sequences in some regular Köthe spaces.
Basic sequences in stable infinite type power series spaces
Basis sequences in a stable finite type power series space
Bayoumi Quasi-Differential is different from Fréchet-Differential
We prove that the Quasi Differential of Bayoumi of maps between locally bounded F-spaces may not be Fréchet-Differential and vice versa. So a new concept has been discovered with rich applications (see [1–6]). Our F-spaces here are not necessarily locally convex