Math 247A 2010
Tu Thur 2-3.15 in APM 2402
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This page contains mostly things you can read if you like.
Some will serve as backup to the lectures.
There is nothing that appropriate as a coheret exposition of the topics
so these readings standing alone are inefficient as a direct path to
them.
What is posted now gives some idea,
but not a good one of what we will covered.
Indeed,more will be added.
It is well known that:
You cant thrill all of the students all of the time
but hopefully all student will find some readings helpful.
Some slides Introducing one to sum of squares
vs LMIs and applications of such to Lyapunov function calculation
See Lyapunov reading below for more details.
COMPLETELY POSITIVE MAPS:
These are the natural notion of positive linear functionals
for noncommutative situations, ie. situations with matrix unknowns,
quantum mechanics.
A quicki wiki exposition of COMPLETELY POSITIVE MAPS (in 3 parts):