Moment Sequences for Ultradistributions.
Montel and reflexive preduals of spaces of holomorphic functions on Fréchet spaces
For U open in a locally convex space E it is shown in [31] that there is a complete locally convex space G(U) such that . Here, we assume U is balanced open in a Fréchet space and give necessary and sufficient conditions for G(U) to be Montel and reflexive. These results give an insight into the relationship between the and topologies on ℋ (U).
Necessary conditions for normal solvability in duals of LF-spaces.
Nevanlinna algebras
The Nevanlinna algebras, , of this paper are the variants of classical weighted area Nevanlinna classes of analytic functions on = z ∈ ℂ: |z| < 1. They are F-algebras, neither locally bounded nor locally convex, with a rich duality structure. For s = (α+2)/p, the algebra of analytic functions f: → ℂ such that as |z| → 1 is the Fréchet envelope of . The corresponding algebra of analytic f: → ℂ such that is a complete metric space but fails to be a topological vector space. is also...
Non-archimedean nuclearity
Nuclear Fréchet Spaces with Locally Round Finite Dimensional Decompositions.
Nuclear Fréchet spaces without the bounded approximation property
On a class of nuclear spaces - I
On a Problem of Bellenot and Dubinsky.
On a Tensor Product Characterization of Nuclearity.
On certain subspaces of a nuclear power series spaces of finite type
On completely continuous maps from locally convex spaces to l1.
On exact sequences of quojections.
We give some general exact sequences for quojections from which many interesting representation results for standard twisted quojections can be deduced. Then the methods are also generalized to the case of nuclear Fréchet spaces.
On extending and lifting continuous linear mappings in topological vector spaces
On Grothendieck space ideals.
On ideals of operators and of locally convex spaces.
On isomorphic classification of tensor products [Book]
On Malgrange Theorem for Nuclear Holomorphic Functions in Open Balls of a Banach Space.
On multipliers of temperate distributions
On non-primary Fréchet Schwartz spaces
Let E be a Fréchet Schwartz space with a continuous norm and with a finite-dimensional decomposition, and let F be any infinite-dimensional subspace of E. It is proved that E can be written as G ⨁ H where G and H do not contain any subspace isomorphic to F. In particular, E is not primary. If the subspace F is not normable then the statement holds for other quasinormable Fréchet spaces, e.g., if E is a quasinormable and locally normable Köthe sequence space, or if E is a space of holomorphic functions...