 SIGMAOPT SEMINAR/OCANA SEMINAR
 Speaker: Stephen Simons, Department of Mathematics, University of California, Santa Barbara
 Title: The asymmetric sandwich theorem
 Location: Room V206, Mathematics Building (Callaghan Campus) The University of Newcastle
 Access Grid Venue: WestGrid
 Time and Date: 10:00 am, Fri, 9^{th} Dec 2011
 Abstract:
We discuss the asymmetric sandwich theorem, a generalization of the Hahn–Banach
theorem. As applications, we derive various results on the existence of linear functionals
in functional analysis that include bivariate, trivariate and quadrivariate generalizations
of the Fenchel duality theorem. We consider both results that use a simple boundedness
hypothesis (as in Rockafellar’s version of the Fenchel duality theorem) and also results
that use Baire’s theorem (as in the Robinson–Attouch–Brezis version of the Fenchel
duality theorem).
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