Minimal pairs of bounded closed convex sets as minimal representations of elements of the Minkowski–Rådström–Hörmander spaces
Volume 84 / 2009
Banach Center Publications 84 (2009), 31-55
MSC: Primary 26A27; Secondary 58C27, 90C30.
DOI: 10.4064/bc84-0-2
Abstract
The theory of minimal pairs of bounded closed convex sets was treated extensively in the book authored by D. Pallaschke and R. Urbański, Pairs of Compact Convex Sets, Fractional Arithmetic with Convex Sets. In the present paper we summarize the known results, generalize some of them and add new ones.