Geometry of nuclear spaces. II - Linear topological invariants
Geometry of nuclear spaces. III - Spaces of holomorphic functions
Gliding hump properties and some applications.
Greedy Approximation with Regard to Bases and General Minimal Systems
*This research was supported by the National Science Foundation Grant DMS 0200187 and by ONR Grant N00014-96-1-1003This paper is a survey which also contains some new results on the nonlinear approximation with regard to a basis or, more generally, with regard to a minimal system. Approximation takes place in a Banach or in a quasi-Banach space. The last decade was very successful in studying nonlinear approximation. This was motivated by numerous applications. Nonlinear approximation is important...
Hypercyclic and chaotic weighted shifts
Extending previous results of H. Salas we obtain a characterisation of hypercyclic weighted shifts on an arbitrary F-sequence space in which the canonical unit vectors form a Schauder basis. If the basis is unconditional we give a characterisation of those hypercyclic weighted shifts that are even chaotic.
Le problème de Lévi dans certains espaces vectoriels topologiques localement convexes
Les systèmes de représentation absolue dans les espaces des fonctions holomorphes
Linearly Topologized Spaces without Continuou Bases. Quadratic Forms and Linear Topologies V.
Lokalkonvexe Sequenzen mit kompakten Abbildungen.
Matrixtransformationen von unvollstl;ndigen Folgenräumen.
Multipliers of topological algebras [Book]
Nontrivial expansions of zero and representation of analytic functions by series of simple fractions.
Normalized bases in topological vector spaces
Nuclear Fréchet Spaces with Locally Round Finite Dimensional Decompositions.
On Absolute Bases.
On absolutely representing systems in spaces of infinitely differentiable functions
The main part of the paper is devoted to the problem of the existence of absolutely representing systems of exponentials with imaginary exponents in the spaces and of infinitely differentiable functions where G is an arbitrary domain in , p≥1, while K is a compact set in with non-void interior K̇ such that . Moreover, absolutely representing systems of exponents in the space H(G) of functions analytic in an arbitrary domain are also investigated.
On bases in the spaces of Dirichlet transformations of finite order
On basis sequences in non-locally convex spaces
On complemented subspaces of some Köthe spaces of infinite type.
On completely continuous maps from locally convex spaces to l1.