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On an open problem regarding totally Fenchel unstable functions
Author(s):
Radu
Ioan
Bot;
Ernö
Robert
Csetnek
Journal:
Proc. Amer. Math. Soc.
137
(2009),
1801-1805.
MSC (2000):
Primary 90C25, 90C46;
Secondary 42A50, 90C47, 46B20
Posted:
November 19, 2008
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Additional information
Abstract:
We give an answer to Problem 11.5 posed in Stephen Simons's book From Hahn-Banach to Monotonicity.
References:
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- 1.
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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:
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
Posted:
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
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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