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
Characterizing Fréchet-Schwartz spaces via power bounded operators
We characterize Köthe echelon spaces (and, more generally, those Fréchet spaces with an unconditional basis) which are Schwartz, in terms of the convergence of the Cesàro means of power bounded operators defined on them. This complements similar known characterizations of reflexive and of Fréchet-Montel spaces with a basis. Every strongly convergent sequence of continuous linear operators on a Fréchet-Schwartz space does so in a special way. We single out this type of "rapid convergence" for a sequence...
Characterizing wirkfelder of certain classes of summability methods.
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
Choquetsimplexe und nukleare Räume.
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 subgroups of nuclear spaces are weakly closed
Complemented Infinite Type Power Series Subspaces of Nuclear Fréchet Spaces.
Complemented subspaces with a strong finite-dimensional decomposition of nuclear Köthe spaces have a basis
The following result is proved: Let E be a complemented subspace with an r-finite-dimensional decomposition of a nuclear Köthe space λ(A). Then E has a basis.
Completeness of regular inductive limits.
Concrete subspaces and quotient spaces of locally convex spaces and completing sequences [Book]
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.
Counterexample to a Conjecture of Grothendieck.