Finite-codimensional subspaces of locally convex spaces
Fixed point theorems in locally convex spaces -- the Schauder mapping method.
Fixed Points in Locally Convex Spaces.
Flache Konvexität und schwache Differenzierbarkeit.
Folgenretraktive Sequenzen lokalkonvexer Räume.
Fonctions aléatoires linéaires. Théorème de dualité
Fonctions «spline» et noyaux reproduisants d'Aronszajn-Bergman
Formes sous-linéaires minimales
Free locally convex spaces and -retracts
We study the relation of -equivalence defined between Tychonoff spaces, that is, we study the topological isomorphisms of their respective free locally convex spaces. We introduce the concept of an -retract in a Tychonoff space in terms of the existence of a special kind of simultaneous extensions of continuous functions, explore the relation of this concept with the Dugundji extension theorem, and find some conditions that allow us to identify -retracts in various classes of topological spaces....
Free uniform measures
Gaussian radon measures on locally convex spaces.
Gewichtete Räume stetiger vektorwertiger Funktionen und das injektive Tensorprodukt. I.
Gewichtete Räume stetiger vektorwertiger Funktionen und das injektive Tensorprodukt. II.
Growth Properties of Pseudo-Convex Domains and Domains of Holomorphy in Locally Convex Topological Vector Spaces.
Hahn-Banach theorem implies Riesz theorem.
Hille-Yosida theory in convenient analysis.
A Hille-Yosida Theorem is proved on convenient vector spaces, a class, which contains all sequentially complete locally convex spaces. The approach is governed by convenient analysis and the credo that many reasonable questions concerning strongly continuous semigroups can be proved on the subspace of smooth vectors. Examples from literature are reconsidered by these simpler methods and some applications to the theory of infinite dimensional heat equations are given.
Holomorphic functions on locally convex topological vector spaces. I. Locally convex topologies on
This article is devoted to a study of locally convex topologies on (where is an open subset of the locally convex topological vector space and is the set of all complex valued holomorphic functions on ). We discuss the following topologies on :(a) the compact open topology ,(b) the bornological topology associated with ,(c) the ported topology of Nachbin ,(d) the bornological topology associated with ; and(e) the topological of Nachbin.For balanced we show these topologies are...
Holomorphic germs on Banach spaces
Let and be two complex Banach spaces, a nonempty subset of and a compact subset of . The concept of holomorphy type between and , and the natural locally convex topology on the vector space of all holomorphic mappings of a given holomorphy type from to were considered first by L. Nachbin. Motived by his work, we introduce the locally convex space of all germs of holomorphic mappings into around of a given holomorphy type , and study its interplay with and some...
Hyperplanes of Locally Convex Groups
Ideales de riesz en espacios localmente k-convexos