On certain convex matrix sets
β Scribed by Chi-Kwong Li
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 190 KB
- Volume
- 79
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
We study some nonnegative matrix sets and investigate the relations between their extreme points. The results obtained answer a question posed by Marshall and Olkin and extend a result of Fulkerson concerning permutation matrices.
π SIMILAR VOLUMES
We show that in any family \(F\) of \(n \geqslant 5\) convex sets in the plane with pairwise disjoint relative interiors, there are two sets \(A\) and \(B\) such that every line that separates them, separates either \(A\) or \(B\) from at least \((n+28) / 30\) sets in \(F\).
## Abstract We consider continuous monotone linear functionals on a locally convex ordered topological vector space that are sandwiched between a given \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$(\mathbb R\cup \lbrace +\infty \rbrace )$\end{document}βvalued subline