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Nearly convex functions, perturbations of norms and  -spaces
Author(s):
Félix
Cabello
Sánchez
Journal:
Proc. Amer. Math. Soc.
129
(2001),
753-758.
MSC (2000):
Primary 39B82, 39B62
Posted:
September 19, 2000
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Abstract:
We prove several results connecting the stability of convex maps (defined on the unit ball of a Banach space) to the notion of  -space.
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Additional Information:
Félix
Cabello
Sánchez
Affiliation:
Departamento de Matemáticas, Universidad de Extremadura, Avenida de Elvas, 06071-Badajoz, Spain
Email:
fcabello@unex.es
DOI:
10.1090/S0002-9939-00-05588-X
PII:
S 0002-9939(00)05588-X
Received by editor(s):
April 14, 1998
Received by editor(s) in revised form:
May 5, 1999
Posted:
September 19, 2000
Additional Notes:
The author was supported in part by DGICYT project PB97-0377 and HI project 1997-0016
Communicated by:
Dale Alspach
Copyright of article:
Copyright
2000,
American Mathematical Society
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