Comparison Methods and Eigenvalue Problems in Cones

Other Talks
Monday, April 5, 2010 - 15:00
1 hour (actually 50 minutes)
Skiles 255
Institute of Mathematics and Physical Sciences, Benin
The purpose of this talk is to highlight some versions of the Krein-Rutman theorem which have been widely and deeply applied in many fields (e.g., Mathematical Analysis, Geometric Analysis, Physical Sciences, Transport theory and Information Sciences). These versions are motivated by optimization theory, perturbation theory, bifurcation theory, etc. and give rise to some simple but useful comparison methods, in ordered Banach spaces, such as the Dodds-Fremlin theorem and the De Pagter theorem.