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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A Müntz space having no complement in $ L_{1}$


Author: Ihab Al Alam
Journal: Proc. Amer. Math. Soc. 136 (2008), 193-201
MSC (2000): Primary 41A10, 41A17; Secondary 46B20, 46E15
Published electronically: October 11, 2007
MathSciNet review: 2350404
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Abstract: in $ C([0,1])$. In the present paper, we prove that there is a Müntz space not complemented in $ L_{1}([0,1])$.


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Additional Information

Ihab Al Alam
Affiliation: Université des Sciences et Technologies de Lille, Laboratoire Paul Painlevé U.M.R. CNRS 8524, U.F.R. de Mathématiques, 59 655 Villeneuve D’Ascq Cedex, France
Email: Ihab.Alalam@math.univ-lille1.fr

DOI: http://dx.doi.org/10.1090/S0002-9939-07-09090-9
PII: S 0002-9939(07)09090-9
Keywords: M\"{u}ntz spaces, complementation, Schauder basis
Received by editor(s): October 10, 2006
Published electronically: October 11, 2007
Communicated by: Nicole Tomczak-Jaegermann
Article copyright: © Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.