SMS scnews item created by Wenqi Yue at Mon 9 Sep 2019 1004
Type: Seminar
Distribution: World
Expiry: 10 Mar 2020
Calendar1: 9 Sep 2019 1700-1800
CalLoc1: Carslaw 535A
CalTitle1: Spectral Decomposition of Linear Operators
Auth: wenqi@dora.maths.usyd.edu.au

# MaPSS: Maths Postgraduate Seminar Series: Jonathan Mui -- Spectral Decomposition of Linear Operators

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!

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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.

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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


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