Minimal pairs representing selections of four linear functions in .
-minimal pairs of compact convex sets.
Optimale Differentiations- und Integrationsformeln in C0 [a, b]. - Optimal Differentiation and Integration Formulas in C0 [a, b].
Homöomorphie- und Homotopieeigenschaften von ....-Räumen.
On Khachian's Algorithm and Minimal Ellipsoids.
Generalized directional derivatives for locally Lipschitz functions which satisfy Leibniz rule
On the reduction of pairs of bounded closed convex sets
Let X be a Hausdorff topological vector space. For nonempty bounded closed convex sets A,B,C,D ⊂ X we denote by A ∔ B the closure of the algebraic sum A + B, and call the pairs (A,B) and (C,D) equivalent if A ∔ D = B ∔ C. We prove two main theorems on reduction of equivalent pairs. The first theorem implies that, in a finite-dimensional space, a pair of nonempty compact convex sets with a piecewise smooth boundary and parallel tangent spaces at some boundary points is not minimal. The second theorem...
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