Die Nuklearität der Ultradistributionsräume und der Satz vom Kern II.
Die Nuklearität der Ultradistributionsräume und der Satz vom Kern I.
Die Obstruktion zur strengen Lokalisierbarkeit eines Maszraumes.
Die Ordnungstopologie und ordnungstonnelierte Topologien auf Vektorverbanden.
Die richtigen Räume für Analysis im Unendlich-Dimensionalen.
Die Struktur endlicher schwach abgeschlossener Jordanalgebren. Teil II. Diskrete Jordanalgebren.
Die Struktur endlicher schwach abgeschlossener Jordanalgebren. Teil I. Stetige Jordanalgebren.
Die Universalität des Raumes c0 für die Klasse der Schwartz-Räume.
Die Weilsche "Explizite Formel" und temperierte Distributionen.
Dieudonné operators on the space of Bochner integrable functions
A bounded linear operator between Banach spaces is called a Dieudonné operator ( = weakly completely continuous operator) if it maps weakly Cauchy sequences to weakly convergent sequences. Let (Ω,Σ,μ) be a finite measure space, and let X and Y be Banach spaces. We study Dieudonné operators T: L¹(X) → Y. Let stand for the canonical injection. We show that if X is almost reflexive and T: L¹(X) → Y is a Dieudonné operator, then is a weakly compact operator. Moreover, we obtain that if T: L¹(X)...
Dieudonné property
Dieudonné-type theorems for lattice group-valued -triangular set functions
Some versions of Dieudonné-type convergence and uniform boundedness theorems are proved, for -triangular and regular lattice group-valued set functions. We use sliding hump techniques and direct methods. We extend earlier results, proved in the real case. Furthermore, we pose some open problems.
Diffeomorphisms between spheres and hyperplanes in infinite-dimensional Banach spaces
Diffeotopy functors of ind-algebras and local cyclic cohomology.
Difference Equations over p-adic Fields.
Difference sequence spaces.
Differences of weighted composition operators on .
Different aspects of differentiability [Book]
Differentation under the integral sign and holomorphy.
Differentiability from the representation formula and the Sobolev-Poincaré inequality
In the geometries of stratified groups, we provide differentiability theorems for both functions of bounded variation and Sobolev functions. Proofs are based on a systematic application of the Sobolev-Poincaré inequality and the so-called representation formula.