Semigroups of max-plus linear operators

2014/11/30 by Marjeta Kramar Fijavž, Aljoša Peperko, Eszter Sikolya · 4 citations
Computer Science · Mathematics · #Advanced Topics in Algebra #Algebra over a field #Continuous linear operator #Discrete mathematics #Linear map #Linear operators #Mathematical analysis #Mathematics #Matrix Theory and Algorithms #Operator (biology) #Polynomial and algebraic computation #Pure mathematics #Semigroup #Special classes of semigroups #math.AP #math.FA #msc:15A80 #msc:47H20 #msc:47J35

paper · pdf · doi:10.1007/s00233-015-9761-x

published in Semigroup Forum 94(2), 463-476 (Springer Science+Business Media) · 21 pages, an erratum added correcting the inacuraccies in the examples section of the previous version. Semigroup Forum, First online: 2015

openalex publication_date 2015/10/28 · arxiv created 2016/05/24 · arxiv updated 2017/12/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We define strongly continuous max-additive and max-plus linear operator semigroups and study their main properties. We present some important examples of such semigroups coming from non-linear evolution equations.

Citations

• One-parameter semigroups for linear evolution equations
• Large deviations of the trajectory of empirical distributions of Feller processes on locally compact spaces
• User’s guide to viscosity solutions of second order partial differential equations
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces