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Dense-lineability in spaces of continuous functions
Author(s):
L.
Bernal-González
Journal:
Proc. Amer. Math. Soc.
136
(2008),
3163-3169.
MSC (2000):
Primary 46E10;
Secondary 26A16, 26A27, 26E10
Posted:
April 25, 2008
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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
DOI:
10.1090/S0002-9939-08-09495-1
PII:
S 0002-9939(08)09495-1
Keywords:
Dense-lineability,
algebra of functions,
continuous nondifferentiable functions,
nowhere analytic functions,
H\"older functions
Received by editor(s):
June 19, 2007
Posted:
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 of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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