Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6416636 | Linear Algebra and its Applications | 2013 | 8 Pages |
Abstract
Affine semigroups are convex sets on which there exists an associative binary operation which is affine separately in either variable. They were introduced by Cohen and Collins in 1959. We look at examples of affine semigroups which are of interest to matrix and operator theory and we prove some new results on the extreme points and the absorbing elements of certain types of affine semigroups. Most notably we improve a result of Wendel that every invertible element in a compact affine semigroup is extreme by extending this result to linearly bounded affine semigroups.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
David W. Kribs, Jeremy Levick, Rajesh Pereira,