Fréchet Schwartz spaces and approximation properties.
Fréchet spaces of continuous vector-valued functions: Complementability in dual Fréchet spaces and injectivity
Fréchet spaces of strongly, weakly and weak*-continuous Fréchet space valued functions are considered. Complete solutions are given to the problems of their injectivity or embeddability as complemented subspaces in dual Fréchet spaces.
Fréchet spaces of Moscatelli type.
Fréchet spaces with a unique unconditional basis
Fréchet spaces with quotients failing the bounded approximation property
Fréchet valued co-echelon spaces
Fréchet-Montel-spaces which are not Schwartz-spaces
Frécheträume, zwischen denen jede stetige lineare Abbildung beschränkt ist.
Fréchet-spaces-valued measures and the AL-property.
Associated with every vector measure m taking its values in a Fréchet space X is the space L1(m) of all m-integrable functions. It turns out that L1(m) is always a Fréchet lattice. We show that possession of the AL-property for the lattice L1(m) has some remarkable consequences for both the underlying Fréchet space X and the integration operator f → ∫ f dm.
(F)-Spaces and Strict (LF)-Spaces.
F-spaces with a basis which is which is shrinking but not hyper-shrinking
Generalized Nash-Moser smoothing operators and the structure of Fréchet spaces
Geometrical properties of Banach spaces and the distribution of the norm for a stable measure
Holomorphic functions and Banach-nuclear decompositions of Fréchet spaces
We introduce a decomposition of holomorphic functions on Fréchet spaces which reduces to the Taylor series expansion in the case of Banach spaces and to the monomial expansion in the case of Fréchet nuclear spaces with basis. We apply this decomposition to obtain examples of Fréchet spaces E for which the τ_{ω} and τ_{δ} topologies on H(E) coincide. Our result includes, with simplified proofs, the main known results-Banach spaces with an unconditional basis and Fréchet nuclear spaces with DN [2,...
Holomorphic Functions and the (BB)-Property.
Holomorphic functions of uniformly bounded type on nuclear Fréchet spaces
Holomorphic functions on Fréchet spaces with Schauder basis.
Holomorphic maps of uniform type
Imbedding of Power Series Spaces and Spaces of Analytic Functions.
Inductive duals of distinguished frechet spaces
The purpose of this note is to give an example of a distinguished Fréchet space and a non-distinguished Fréchet space which have the same inductive dual. Accordingly, distinguishedness is a property which is not reflected in the inductive dual. In contrast to this example, it was known that the properties of being quasinormable or having the density condition can be characterized in terms of the inductive dual of a Fréchet space.