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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On an open problem regarding totally Fenchel unstable functions


Authors: Radu Ioan Bot and Ernö Robert Csetnek
Journal: Proc. Amer. Math. Soc. 137 (2009), 1801-1805
MSC (2000): Primary 90C25, 90C46; Secondary 42A50, 90C47, 46B20
Published electronically: November 19, 2008
MathSciNet review: 2470840
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Abstract: We give an answer to Problem 11.5 posed in Stephen Simons's book From Hahn-Banach to Monotonicity.


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Additional Information

Radu Ioan Bot
Affiliation: Faculty of Mathematics, Chemnitz University of Technology, D-09107 Chemnitz, Germany
Email: radu.bot@mathematik.tu-chemnitz.de

Ernö Robert Csetnek
Affiliation: Faculty of Mathematics, Chemnitz University of Technology, D-09107 Chemnitz, Germany
Email: robert.csetnek@mathematik.tu-chemnitz.de

DOI: http://dx.doi.org/10.1090/S0002-9939-08-09738-4
PII: S 0002-9939(08)09738-4
Keywords: Conjugate function, Fenchel duality, minimax theorem, weak$^*$-extreme point
Received by editor(s): December 18, 2007
Received by editor(s) in revised form: July 21, 2008
Published electronically: November 19, 2008
Additional Notes: The first author was partially supported by DFG (German Research Foundation), project WA 922/1.
The second author was supported by a Graduate Fellowship of the Free State Saxony, Germany.
Communicated by: N. Tomczak-Jaegermann
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.