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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Nearly convex functions, perturbations of norms and $K$-spaces
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by Félix Cabello Sánchez PDF
Proc. Amer. Math. Soc. 129 (2001), 753-758 Request permission

Abstract:

We prove several results connecting the stability of convex maps (defined on the unit ball of a Banach space) to the notion of $K$-space.
References
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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
  • 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
  • © Copyright 2000 American Mathematical Society
  • 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
  • MathSciNet review: 1707140