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.
Complemented subspaces of sums and products of copies of L1[0, 1].
We prove that the direct sum and the product of countably many copies of L1[0, 1] are primary locally convex spaces. We also give some related results.
Complete Spaces of Vector-Valued Holomorphic Germs.
Completeness of regular inductive limits.
Connected subgroups of nuclear spaces
Consequences of the existence of a non-compact operator between nuclear Köthe spaces.
Continous Norms on Locally Convex Strict Inductive Limit Spaces.
Countably determined locally convex spaces
Counterexample to a Conjecture of Grothendieck.