Convex functions and sets
Orlicz spaces
Gauges and locally convex spaces
Separation theorems
Duality : dual topologies, bipolar sets, and Legendre transforms
Monotone and convex matrix functions
Loewner's theorem : a first proof
Extreme points and the Krein-Milman theorem
The strong Krein-Milman theorem
Choquet theory : existence
Choquet theory : uniqueness
Complex interpolation
The Brunn-Minkowski inequalities and log concave functions
Rearrangement inequalities. Brascamp-Lieb-Luttinger inequalities ; Rearrangement inequalities
Majorization. The relative entropy.
OBNB doesn't sell books, but you may be able to find a copy at one of these websites:
Convexity : an analytic viewpoint by Barry Simon. ISBN 9781107007314. Published by Cambridge University Press in 2011. Publication and catalogue information, links to buy online and reader comments.
