Math Seminar: Eventually Cone Positive Semigroups of Linear Operators
4:10pm Neill 5W
A systematic theory has been developed on eventually positive semigroups of linear operators on some Banach lattices. This development has advanced previous work on the notion of positivity(nonnegativity) of operators(matrices) and applications. One such prior work examined the reachability and holdability of nonnegative states for linear differential systems and utilized the notion of Perron-Frobenious type properties. In this presentation, I will discuss further work in progress on cone positivity of linear operators. With a genesis based on recent work by Daners et.al., I will illustrate some similarities and variations between finite and infinite dimensional settings for this theory and explore possible extensions.