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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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Dense-lineability in spaces of continuous functions
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by L. Bernal-González PDF
Proc. Amer. Math. Soc. 136 (2008), 3163-3169 Request permission

Abstract:

In this paper we provide a general method to prove that certain nonlinear families of continuous functions contain dense linear manifolds. An application is furnished.
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Additional Information
  • L. Bernal-González
  • Affiliation: Facultad de Matemáticas, Departamento de Análisis Matemático, Universidad de Sevilla, Apdo. 1160, Avda. Reina Mercedes, Sevilla-41080, Spain
  • Email: lbernal@us.es
  • Received by editor(s): June 19, 2007
  • Published electronically: April 25, 2008
  • Additional Notes: The author has been partially supported by the Plan Andaluz de Investigación de la Junta de Andalucía FQM-127, and by MEC Grants MTM2006-13997-C02-01 and Acción Especial MTM2004-21420-E
  • Communicated by: N. Tomczak-Jaegermann
  • © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 136 (2008), 3163-3169
  • MSC (2000): Primary 46E10; Secondary 26A16, 26A27, 26E10
  • DOI: https://doi.org/10.1090/S0002-9939-08-09495-1
  • MathSciNet review: 2407080