Critères de faible compacité en termes du théorème du minimax
Criteria for Eberlein Compactness in Spaces of Continuous Functions.
Criteria for weak compactness of vector-valued integration maps
Criteria are given for determining the weak compactness, or otherwise, of the integration map associated with a vector measure. For instance, the space of integrable functions of a weakly compact integration map is necessarily normable for the mean convergence topology. Results are presented which relate weak compactness of the integration map with the property of being a bicontinuous isomorphism onto its range. Finally, a detailed description is given of the compactness properties for the integration...
Criteria of openness for relations
CS-barrelled spaces.
C-Sequential and S-Bornological Topological Vector Spaces.
Cyclic monads and their applications.
Cylindrical Measures on Vector Lattices and Random Measures.
Darstellung temperierter vektorwertiger Distributionen durch holomorphe Funktionen II.
Darstellung temperierter vektorwertiger Distributionen durch holomorphe Funktionen I.
Darstellung von Banach-Verbänden und Sätze vom Korovkin-Typ.
De nouveaux espaces de Banach sans la propriété d'approximation
Decomposition Theorems.
Deformation quantization and Borel's theorem in locally convex spaces
It is well known that one can often construct a star-product by expanding the product of two Toeplitz operators asymptotically into a series of other Toeplitz operators multiplied by increasing powers of the Planck constant h. This is the Berezin-Toeplitz quantization. We show that one can obtain in a similar way in fact any star-product which is equivalent to the Berezin-Toeplitz star-product, by using instead of Toeplitz operators other suitable mappings from compactly supported smooth functions...
Dense barrelled subspace of Banach spaces.
Dense range perturbations of hypercyclic operators
We show that if (Tₙ) is a hypercyclic sequence of linear operators on a locally convex space and (Sₙ) is a sequence of linear operators such that the image of each orbit under every linear functional is non-dense then the sequence (Tₙ + Sₙ) has dense range. Furthermore, it is proved that if T,S are commuting linear operators in such a way that T is hypercyclic and all orbits under S satisfy the above non-denseness property then T - S has dense range. Corresponding statements for operators and sequences...
Denseness and Borel complexity of some sets of vector measures
Let ν be a positive measure on a σ-algebra Σ of subsets of some set and let X be a Banach space. Denote by ca(Σ,X) the Banach space of X-valued measures on Σ, equipped with the uniform norm, and by ca(Σ,ν,X) its closed subspace consisting of those measures which vanish at every ν-null set. We are concerned with the subsets and of ca(Σ,X) defined by the conditions |φ| = ν and |φ| ≥ ν, respectively, where |φ| stands for the variation of φ ∈ ca(Σ,X). We establish necessary and sufficient conditions...
Densité de l’espace des fonctions affines continues sur un convexe compact dans l’espace d’une mesure maximale
Density character, barrelledness and the closed graph theorem
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.