Zur Stetigkeit der mengenwertigen metrischen Projektion in endlichdimensionalen Räumen

Let X be a real normed linear space, X^* its dual, V a linear subspace of X and S(V) the unit sphere in the orthogonal space In this note we prove in the case of finite-dimensional X the following sufficient condition for the continuity of the set-valued metric projection in terms of the mapping and : If the restriction of T to S(V) is lower semi-continuous then P_V is lower semi-continuous.     

Das Definitionsgebiet der Grundinvarianten eines Tensors

In this article we investigate the conditions that the principal invariants of a tensor have to satisfy so that it may be symmetric or orthogonal. In particular, we treat the relationship between the domain of definition of the principal invariants of a symmetric deviator and the space of its eigenvalues, and we apply this mapping to the yield conditions ofTresca and ofv. Mises.     

Primitive Länge und primitive Weite bei modularen Verbänden

Ohne Zusammenfassung     

Chiral economic total synthesis of natural and unnatural prostaglandins]

Using a meso-compound which is asymmetrically substituted with a chiral moiety as an intermediate, prostaglandins have been synthesized. Since the undesired enantiomer is readily recycled, this approach leads to a synthesis with high chiral efficiency. In addition it is possible to prepare both enantiomeric configurations of prostaglandins by simply altering the sequence of reactions. This concept should be generally useful in the synthesis of optically active molecules.