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Extremal characterizations of asplund spaces
Author(s):
Boris
S.
Mordukhovich;
Yongheng
Shao
Journal:
Proc. Amer. Math. Soc.
124
(1996),
197-205.
MSC (1991):
Primary 46B20;
Secondary 49J52
MathSciNet review:
1291788
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Abstract:
We prove new characterizations of Asplund spaces through certain extremal principles in nonsmooth analysis and optimization. The latter principles provide necessary conditions for extremal points of set systems in terms of Fréchet normals and  -normals.
References:
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Additional Information:
Boris
S.
Mordukhovich
Affiliation:
Department of Mathematics, Wayne State University, Detroit, Michigan 48202
Email:
boris@math.wayne.edu
Yongheng
Shao
Affiliation:
Department of Mathematics, Wayne State University, Detroit, Michigan 48202
DOI:
10.1090/S0002-9939-96-03049-3
PII:
S 0002-9939(96)03049-3
Received by editor(s):
February 22, 1994,
Received by editor(s) in revised form:
August 1, 1994
Additional Notes:
This research was partially supported by the National Science Foundation under grants DMS-9206989 and DMS-9404128
Communicated by:
Dale Alspach
Copyright of article:
Copyright
1996,
American Mathematical Society
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