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
DOI:
https://doi.org/10.1090/S0002-9939-08-09738-4
Published electronically:
November 19, 2008
MathSciNet review:
2470840
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: We give an answer to Problem 11.5 posed in Stephen Simons's book From Hahn-Banach to Monotonicity.
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-extreme points in Banach spaces, J. Convex Anal. 10 (2) (2003), 531-539. Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 90C25, 90C46, 42A50, 90C47, 46B20
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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:
https://doi.org/10.1090/S0002-9939-08-09738-4
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.
