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Excesses, duality gaps and weak compactness

Author(s): Stephen Simons
Journal: Proc. Amer. Math. Soc. 130 (2002), 2941-2946.
MSC (2000): Primary 46B10, 46N10, 49J35, 49N15
Posted: March 13, 2002
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Abstract: We explore the connection between the concepts ``excess'' and ``duality gap'' from epigraphical analysis and optimization, and the functional analytic concepts of weak* and weak compactness. We also discuss briefly the connection with R. C. James's ``sup theorem''.

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