Basic sequences in stable infinite type power series spaces
Basis sequences in a stable finite type power series space
Bemerkungen über unendlichdimensionale, separierte Limesvektorräume und Limesgruppen.
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...
Boundaries in inductive limit topological algebras.
Bounded linear maps between (LF)-spaces.
Characterizations of pairs (E,F) of complete (LF)?spaces such that every continuous linear map from E to F maps a 0?neighbourhood of E into a bounded subset of F are given. The case of sequence (LF)?spaces is also considered. These results are similar to the ones due to D. Vogt in the case E and F are Fréchet spaces. The research continues work of J. Bonet, A. Galbis, S. Önal, T. Terzioglu and D. Vogt.
Bounded sets in fast complete inductive limits.
Buchwalter-Schmets theorems and linear topologies.
Calculation of the Bidual for Some Function Spaces. Integrable Distributions.
Characterization of nuclear Fréchet spaces in which every bounded set is polar
Characterization of Nuclear Spaces Means of Additive Subgroups.
Characterization of subspaces and quotients of nuclear -spaces
Charakterisierung der Quotientenräume von s und eine Vermutung von Martineau
Charakterisierung der Unterraüme eines nuklearen stabilen Potenzreihenraumes von endlichen Typ
Charakterisierung der Unterraüme und Quotienteräume der nuklearen stabilen Potenzreihenraüme von unendlichem Typ
Classical PLS-spaces: spaces of distributions, real analytic functions and their relatives
This paper is an extended version of an invited talk presented during the Orlicz Centenary Conference (Poznań, 2003). It contains a brief survey of applications to classical problems of analysis of the theory of the so-called PLS-spaces (in particular, spaces of distributions and real analytic functions). Sequential representations of the spaces and the theory of the functor Proj¹ are applied to questions like solvability of linear partial differential equations, existence of a solution depending...
Closed bounded sets in inductive limits of -spaces
Closed subgroups of nuclear spaces are weakly closed
Compactness properties of vector-valued integration maps in locally convex spaces
Complemented Infinite Type Power Series Subspaces of Nuclear Fréchet Spaces.