Grzybowski, J.; Urbański, R. Minimal pairs of bounded closed convex sets. (English) Zbl 0896.52002 Stud. Math. 126, No. 1, 95-99 (1997). The authors consider minimal presentations for members of the space of bounded closed convex sets. They prove existence of a minimal pair in the case when the underlying space is reflexive and give an example of nonreflexive Banach space in which this property fails. Reviewer: S.S.Kutateladze (Novosibirsk) Cited in 9 Documents MSC: 52A07 Convex sets in topological vector spaces (aspects of convex geometry) 26A27 Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives Keywords:space of convex sets; minimal pair of sets PDFBibTeX XMLCite \textit{J. Grzybowski} and \textit{R. Urbański}, Stud. Math. 126, No. 1, 95--99 (1997; Zbl 0896.52002) Full Text: EuDML