Tuesday
21
February
2023
Interplay between spectrally bounded operators and Complex Analysis
Speaker:
Professor Martin Mathieu, MRIA,
Queen’s University Belfast, Belfast, UK
Time:
15:00
Venue:
Mathematics Division, Room 1005
The quest to confirm Kaplansky’s conjecture from 1970 stating that every linear, unital, surjective, invertibility-preserving mapping between semisimple Banach algebras is a Jordan homomorphism has led to a plethora of beautiful results, notably by Aupetit and collaborators. The more general classes of spectrally bounded and spectrally isometric operators have also attracted a lot of attention. Many of the techniques involve methods from Complex Analysis and are surprisingly subtle. In this talk I will emphasise the usefulness of these methods and present some more recent results as well.
Anyone needing more information is welcome to contact Professor Mouton at smo@sun.ac.za.