The crystal and molecular structure of the cycloadduct from an activated carbodiimide and methyl isothiocyanate

The crystal and molecular structures of the cycloadduct from isopropyl[α-(dimethylthio-carbamoyl)isopropyl]carbodiimide and methyl isothiocyanate were determined by single-crystal X-ray methods. The product was established to be 2-(1-isopropyl-3,5-dimethyl-4,6-dithioxo-hexahydro-1,3,5-triazine-2-ylidenamino)-N,N-dimethylthioisoburyramide, in which contrary to expectations based on hybridisation the heterocyclic ring adopts a boat conformation.     

On mackey convergence in locally convex spaces

After some introductory propositions, we give a dual characterization of those locally convex spaces which satisfy the Mackey convergence condition or the fast convergence condition by means of Schwartz topologies. Making use of the universal Schwartz space (l _∞ ,τ(l _∞ ,l ₁)) we prove some representation theorems for bornological and ultrabornological spaces, that is, every bornological spaceE is a dense subspace of an inductive limit lim indE _a, a∈A, ofseparable Banach spacesE _a, and every Mackey null sequence inE is a null sequence in someE _a. IfE is ultrabornological, thenE can be represented as lim indE _a,a∈A, allE _a separable Banach spaces, such that every fast null sequence inE is a null sequence in someE _a.     

Topologisch stetige hermitesche Formen

Ohne Zusammenfassung     

Die Universalität des Raumesc 0 für die Klasse der Schwartz-Räume

Ohne ZusammenfassungHerrn Professor B. L. van der Waerden zum 70. Geburtstag am 2. Februar 1973 gewidmet