Minimax Theory and its Applications 01 (2016), No. 1, 021--027
Copyright Heldermann Verlag 2016
A Very Complicated Proof of the Minimax Theorem
Jonathan M. Borwein
CARMA, University of Newcastle, Callaghan NSW 2308, Australia, Australia
jonathan.borwein@newcastle.edu.au
The justly celebrated von Neumann minimax theorem has many proofs. Here I reproduce the most complex one I am aware of. This provides a fine didactic example for many courses in convex analysis or functional analysis.
Keywords: Minimax theorem, Hahn-Banach theorem, Fenchel duality theorem, weak integrals, barycentre.
MSC: 45Q05; 49N45 90C25 49N15 90C90
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