Type: Seminar

Distribution: World

Expiry: 10 Mar 2020

CalTitle1: Spectral Decomposition of Linear Operators

Auth: wenqi@dora.maths.usyd.edu.au

Hello all, The next MaPSS talk of this semester will be at 17:00 on Mon 9th of September in Carslaw 535. It’s a great opportunity to meet fellow postgrads, listen to an interesting talk, and of course get some free pizza! ************************************************************************************** Speaker: Jonathan Mui Title: Spectral Decomposition of Linear Operators Abstract: I will present a proof for the Jordan decomposition of matrices using only the most elementary results from complex analysis. The proof rests entirely on the Laurent expansion of the resolvent operator about an eigenvalue. This result is fairly old, and can be found already in a classic text by Kato (1966). However, it does not seem to be well-known outside of the field of operator theory. I will also discuss some applications to infinite dimensional Banach spaces. ************************************************************************************** See you there! Details can also be found on the school’s Postgraduate Society website: http://www.maths.usyd.edu.au/u/MaPS/mapss.2019.html