Méthode fonctionnelle en théorie des champs
Metrizable [normable] (LF)-spaces and two classical problems in Fréchet [Banach] spaces
Mittag-Leffler methods in analysis.
In this survey we present two Mittag-Leffler lemmas and several applications to topics as varied as the delta-equation, Fréchet algebras, inductive limits of Banach spaces and quasi-normable Fréchet spaces.
Multipliers of temperate distributions
Spaces , , of multipliers of temperate distributions introduced in an earlier paper of the first author are expressed as inductive limits of Hilbert spaces.
Necessary conditions for normal solvability in duals of LF-spaces.
Non-archimedean nuclearity
Note on quasi-bounded sets.
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 boundary behaviour of the Bergman projection on pseudoconvex domains
It is shown that on strongly pseudoconvex domains the Bergman projection maps a space of functions growing near the boundary like some power of the Bergman distance from a fixed point into a space of functions which can be estimated by the consecutive power of the Bergman distance. This property has a local character. Let Ω be a bounded, pseudoconvex set with C³ boundary. We show that if the Bergman projection is continuous on a space defined by weighted-sup seminorms and equipped with the topology...
On bounded module maps between Hilbert modules over locally -algebras.
On certain subspaces of a nuclear power series spaces of finite type
On completions of LB-spaces of Moscatelli type.
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 ideals of operators and of locally convex spaces.
On locally convex extension of in the unit ball and continuity of the Bergman projection
We define locally convex spaces LW and HW consisting of measurable and holomorphic functions in the unit ball, respectively, with the topology given by a family of weighted-sup seminorms. We prove that the Bergman projection is a continuous map from LW onto HW. These are the smallest spaces having this property. We investigate the topological and algebraic properties of HW.