Excesses, duality gaps and weak compactness
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- Proc. Amer. Math. Soc. 130 (2002), 2941-2946 Request permission
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”.References
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Additional Information
- Stephen Simons
- Affiliation: Department of Mathematics, University of California, Santa Barbara, California 93106-3080
- MR Author ID: 189831
- Email: simons@math.ucsb.edu
- Received by editor(s): May 1, 2001
- Published electronically: March 13, 2002
- Communicated by: Jonathan M. Borwein
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 2941-2946
- MSC (2000): Primary 46B10, 46N10, 49J35, 49N15
- DOI: https://doi.org/10.1090/S0002-9939-02-06456-0
- MathSciNet review: 1908917