Nearly convex functions, perturbations of norms and -spaces

Author:
Félix Cabello Sánchez

Journal:
Proc. Amer. Math. Soc. **129** (2001), 753-758

MSC (2000):
Primary 39B82, 39B62

DOI:
https://doi.org/10.1090/S0002-9939-00-05588-X

Published electronically:
September 19, 2000

MathSciNet review:
1707140

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Abstract | References | Similar Articles | Additional Information

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:
https://doi.org/10.1090/S0002-9939-00-05588-X

Received by editor(s):
April 14, 1998

Received by editor(s) in revised form:
May 5, 1999

Published electronically:
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

Article copyright:
© Copyright 2000
American Mathematical Society