Approximation Properties of the Mn-Operators. (Short Communication).
Approximation Results in the Strict Topology
Approximationseigenschaft, Lifting und Kohomologie bei lokalkonvexen Produktgarben.
Associated weights and spaces of holomorphic functions
When treating spaces of holomorphic functions with growth conditions, one is led to introduce associated weights. In our main theorem we characterize, in terms of the sequence of associated weights, several properties of weighted (LB)-spaces of holomorphic functions on an open subset which play an important role in the projective description problem. A number of relevant examples are provided, and a “new projective description problem” is posed. The proof of our main result can also serve to characterize...
Atomic decomposition of a weighted inductive limit.
Estudiamos algunas cuestiones estructurales acerca del espacio localmente convexo HV∞, que está formado por funciones analíticas en el disco unidad abierto. Construimos una descomposición atómica de este espacio, usando un retículo de puntos del disco unidad que es más denso que el usual. También demostramos que HV∞ no es nuclear.
Automorphisms on the spaces of entire functions of several variables over non-archimedean fields.
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.
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 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 the space analytic Dirichlet transformations.
Bemerkungen über die Approximationseigenschaft lokalkonvexer Funktionenräume.
Best approximants from non-archimedean Stone-Weierstrass subspaces
Beziehungen zwischen Tychonoff-Räumen und ihren Funktionenringen.
Biduality in (LF)-spaces.
En la Sección 1 se pueban resultados abstractos sobre preduales y sobre bidualidad de espacios (LF). Sea E = indn En un espacio (LF), ponemos H = indn Hn para una sucesión de subespacios de Fréchet Hn de En con Hn ⊂ Hn+1. Investigamos bajo qué condiciones el espacio E es canónicamente (topológicamente isomorfo a) el bidual inductivo (H'b)'i o (incluso) al bidual fuerte de H. Los resultados abstractos se aplican en la Sección 2, especialmente a espacios (LF) ponderados de funciones holomorfas, pero...
Bornological and Ultrabornological C(X;E) Spaces.
Bornological spaces of type
Buchwalter-Schmets theorems and linear topologies.
Calculation of the Bidual for Some Function Spaces. Integrable Distributions.
Caractérisation des anneaux noethériens de séries formelles à croissance controlée. Application à la synthèse spectrale.
Given a subring of the ring of formal power series defined by the growth of the coefficients, we prove a necessary and sufficient condition for it to be a noetherian ring. As a particular case, we show that the ring of Gevrey power series is a noetherian ring. Then, we get a spectral synthesis theorem for some classes of ultradifferentiable functions.
Cardinal invariants of -topologies.