Continuity of sublinear operators on F-spaces.
Continuous linear extension operators on spaces of holomorphic functions on closed subgroups of a complex Lie group
We show that the restriction operator of the space of holomorphic functions on a complex Lie group to an analytic subset V has a continuous linear right inverse if it is surjective and if V is a finite branched cover over a connected closed subgroup Γ of G. Moreover, we show that if Γ and G are complex Lie groups and V ⊂ Γ × G is an analytic set such that the canonical projection is finite and proper, then has a right inverse
Convexity, type and three space problem
Correction à "Représentation fonctionnelle des espaces vectoriels topologiques"
Counterexamples in Holomorphic Functions on Nuclear Fréchet Spaces.
Darstellung temperierter vektorwertiger Distributionen durch holomorphe Funktionen II.
Darstellung temperierter vektorwertiger Distributionen durch holomorphe Funktionen I.
Density conditions in Fréchet and (DF)-spaces.
We survey our main results on the density condition for Fréchet spaces and on the dual density condition for (DF)-spaces (cf. Bierstedt and Bonet (1988)) as well as some recent developments.
Differentiation in locally convex spaces
Double convergence and products of Fréchet spaces
The paper is devoted to convergence of double sequences and its application to products. In a convergence space we recognize three types of double convergences and points, respectively. We give examples and describe their structure and properties. We investigate the relationship between the topological and convergence closure product of two Fréchet spaces. In particular, we give a necessary and sufficient condition for the topological product of two compact Hausdorff Fréchet spaces to be a Fréchet...
Each Non-Zero Convolution Operator on the Entire Functions Admits a Continuous Linear Right Inverse.
Eine Charakterisierung der Potenzreihenräume von endlichem Typ und ihre Folgerungen.
Ekeland's variational principle in Fréchet spaces and the density of extremal points
By modifying the method of Phelps, we obtain a new version of Ekeland's variational principle in the framework of Fréchet spaces, which admits a very general form of perturbations. Moreover we give a density result concerning extremal points of lower semicontinuous functions on Fréchet spaces. Even in the framework of Banach spaces, our result is a proper improvement of the related known result. From this, we derive a new version of Caristi's fixed point theorem and a density result for Caristi...
El espacio de la convergencia en medida y su dual.
Embeddings of Fréchet spaces in uniform Fréchet algebras
Enlargements of operators between locally convex spaces.
In this note we study three operators which are canonically associated with a given linear and continuous operator between locally convex spaces. These operators are defined using the spaces of bounded sequences and null sequences. We investigate the relation between them and the original operator concerning properties, like being surjective or a homomorphism.
Equivalent nuclear systems
Errata to the article "On holomorphy in Banach spaces and absolute convergence of Fourier series" (Port. Math., 45(4) (1988), 429-450)
Espaces localement convexes séparés différentiables
Espacios de Fréchet de generación debilmente compacta.