On a class of nuclear spaces - I
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Displaying 1 – 20 of 35
On a Problem of Bellenot and Dubinsky.
Erhard Behrends, Susanne Dierolf, Peter Harmand (1986)
Mathematische Annalen
On a Tensor Product Characterization of Nuclearity.
K. John, V. Zizler (1979)
Mathematische Annalen
On boundary behaviour of the Bergman projection on pseudoconvex domains
M. Jasiczak (2005)
Studia Mathematica
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.
Joiţa, M. (2005)
Acta Mathematica Universitatis Comenianae. New Series
On certain subspaces of a nuclear power series spaces of finite type
A. Aytuna, T. Terzioğlu (1981)
Studia Mathematica
On completions of LB-spaces of Moscatelli type.
Susane Dierolf, Phillip Kuss (2008)
RACSAM
On exact sequences of quojections.
G. Metafune, V. B. Moscatelli (1991)
Revista Matemática de la Universidad Complutense de Madrid
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
W. Gejler (1978)
Studia Mathematica
On ideals of operators and of locally convex spaces.
Marilda A. Simoes (1985)
Collectanea Mathematica
On locally convex extension of in the unit ball and continuity of the Bergman projection
M. Jasiczak (2003)
Studia Mathematica
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.
Mário C. Matos (1978)
Mathematische Zeitschrift
On prequojections and their duals.
M. I. Ostrovskii (1998)
Revista Matemática Complutense
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
Piotr Mikusiński (1983)
Czechoslovak Mathematical Journal
On regularity of inductive limits
Carlos Bosch, Jan Kučera (1995)
Czechoslovak Mathematical Journal
On sequentially retractive inductive limits.
García, Armando (2003)
International Journal of Mathematics and Mathematical Sciences
On Some Spaces Of Analytic Functions And Their Duality Relations.
Jairo A. Charris, Ruth S. Huerfano (1988)
Revista colombiana de matematicas
On Tensor Product Characterization of Nuclear Spaces.
Kamil John (1981)
Mathematische Annalen
On the BAP in Fréchet Schwartz Spaces and Their Duals.
J.M.F. Castillo (1988)
Monatshefte für Mathematik
On the Completition of (LF)-Spaces.
J.M. Garcia-Lafuente (1987)
Monatshefte für Mathematik
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