Konvexitätstreue und Linearität von Abbildungen.
Lipschitz sums of convex functions
We give a geometric characterization of the convex subsets of a Banach space with the property that for any two convex continuous functions on this set, if their sum is Lipschitz, then the functions must be Lipschitz. We apply this result to the theory of Δ-convex functions.
Lokale Berührungskegel einer Menge im Euklidischen Raum
Mixture Sets and Convex Sets
Multiplication of convex sets in C(K) spaces
Let C(K) denote the Banach algebra of continuous real functions, with the supremum norm, on a compact Hausdorff space K. For two subsets of C(K), one can define their product by pointwise multiplication, just as the Minkowski sum of the sets is defined by pointwise addition. Our main interest is in correlations between properties of the product of closed order intervals in C(K) and properties of the underlying space K. When K is finite, the product of two intervals in C(K) is always an interval....
Nearly All Convex Bodies Are Smooth and Strictly Convex.
Nonexpansive retracts in Banach spaces
We study various aspects of nonexpansive retracts and retractions in certain Banach and metric spaces, with special emphasis on the compact nonexpansive envelope property.
Note on separation of convex sets
On a class of convex sets
On an Ordering for Probability Measures and a Corresponding Integral Representation.
On some special surfaces connected with convex surfaces of the Lobachevskij space.
On the algebraic properties of convex bodies and some applications.
On the decomposition of a vector space in the sum of a convex set and a subspace
On the differentiation of convex functions
On the differentiation of convex functions in finite and infinite dimensional spaces
On the Geometry of Stable Compact Convex Sets.
On the Integral Representation in Convex Noncompact Sets of Tight Measures.
On the multiplicity points of monotone operators on separable Banach spaces
On the Openness of Continuous Averagings.
On the Openness of the Barycentre Map.