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.
On Malgrange Theorem for Nuclear Holomorphic Functions in Open Balls of a Banach Space.
On prequojections and their duals.
The paper is devoted to the class of Fréchet spaces which are called prequojections. This class appeared in a natural way in the structure theory of Fréchet spaces. The structure of prequojections was studied by G. Metafune and V. B. Moscatelli, who also gave a survey of the subject. Answering a question of these authors we show that their result on duals of prequojections cannot be generalized from the separable case to the case of spaces of arbitrary cardinality. We also introduce a special class...
On pseudonormability of some particular classes of spaces
On regularity of inductive limits
On sequentially retractive inductive limits.
On Some Spaces Of Analytic Functions And Their Duality Relations.
On Tensor Product Characterization of Nuclear Spaces.
On the BAP in Fréchet Schwartz Spaces and Their Duals.
On the Completition of (LF)-Spaces.