On the differentiability of Lipschitz mappings in Fréchet spaces
On the extension of holomorphic maps on locally convex spaces with values in Fréchet spaces
On the extension of Lipschitz maps with values in a Fréchet space
On the functors Ext¹(E,F) for Fréchet spaces
On the quasi-weak drop property
A new drop property, the quasi-weak drop property, is introduced. Using streaming sequences introduced by Rolewicz, a characterisation of the quasi-weak drop property is given for closed bounded convex sets in a Fréchet space. From this, it is shown that the quasi-weak drop property is equivalent to weak compactness. Thus a Fréchet space is reflexive if and only if every closed bounded convex set in the space has the quasi-weak drop property.
On the relation of the bounded approximation property and a finite dimensional decomposition in nuclear Fréchet spaces
On the splitting of twisted sums, and the three space problem for local convexity
On the structure of fixed point sets of some compact maps in the Fréchet space
The aim of this note is 1. to show that some results (concerning the structure of the solution set of equations (18) and (21)) obtained by Czarnowski and Pruszko in [6] can be proved in a rather different way making use of a simle generalization of a theorem proved by Vidossich in [8]; and 2. to use a slight modification of the “main theorem” of Aronszajn from [1] applying methods analogous to the above mentioned idea of Vidossich to prove the fact that the solution set of the equation (24), (25)...
On the subspaces of Fréchet Montel spaces and of the strong duals of Fréchet Montel spaces.
On the three-space problem and the lifting of bounded sets.
We exhibit a general method to show that for several classes of Fréchet spaces the Three-space-problem fails. This method works for instance for the class of distinguished Fréchet spaces, for Fréchet spaces with the density condition and also for dual Fréchet spaces (which gives a negative answer to a question of D. Vogt). An example of a Banach space, which is not a dual Banach space but the strong dual of a DF-space, shows that there are two real different possibilities of defining the notion...
On the Three-space-problem for df Spaces and Their Duals
On the three-space-problem for topological vector spaces.
On topological classification of non-archimedean Fréchet spaces
We prove that any infinite-dimensional non-archimedean Fréchet space is homeomorphic to where is a discrete space with . It follows that infinite-dimensional non-archimedean Fréchet spaces and are homeomorphic if and only if . In particular, any infinite-dimensional non-archimedean Fréchet space of countable type over a field is homeomorphic to the non-archimedean Fréchet space .
On variation topology
On weak and Schauder decompositions
On Weighted Inductive Limits of Spaces of Continuous Function.
Polynomials and multilinear forms on fully nuclear spaces
(p,q)-Convexity in quasi-Banach lattices and applications
Preduals of spaces of vector-valued holomorphic functions
For a balanced open subset of a Fréchet space and a dual-Banach space we introduce the topology on the space of holomorphic functions from into . This topology allows us to construct a predual for which in turn allows us to investigate the topological structure of spaces of vector-valued holomorphic functions. In particular, we are able to give necessary and sufficient conditions for the equivalence and compatibility of various topologies on spaces of vector-valued holomorphic functions....
Produits tensoriels d'espaces vectoriels topologiques