D. Handelman

collaborators

3 papers

math.RA2011

Simple archimedean dimension groups

David Handelman

We answer a question of Goodearl, by constructing for every metrizable Choquet simplex, a dimension group that is simple and archimedean and whose trace space is the desired Choque…

math.CA2010

Arguments of zeros of highly log concave polynomials

David Handelman

For a real polynomial $p = \sum_{i = 0}^{n} c_{i} x^{i}$ with no negative coefficients and $n \geq 6$ , let $β (p) = in f_{i = 1}^{n - 1} c_{i}^{2} / c_{i + 1} c_{i - 1}$ (so $β (p) \geq 1$ entails that $p$ …

math.AG2010

In praise of order units

David Handelman

We show that the ordered rings naturally associated to compact convex polyhedra with interior satisfy a positivity property known as order unit cancellation, and obtain other gener…