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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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A Müntz space having no complement in $L_{1}$
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by Ihab Al Alam PDF
Proc. Amer. Math. Soc. 136 (2008), 193-201 Request permission

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
  • Received by editor(s): October 10, 2006
  • Published electronically: October 11, 2007
  • Communicated by: Nicole Tomczak-Jaegermann
  • © Copyright 2007 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 136 (2008), 193-201
  • MSC (2000): Primary 41A10, 41A17; Secondary 46B20, 46E15
  • DOI: https://doi.org/10.1090/S0002-9939-07-09090-9
  • MathSciNet review: 2350404