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A Müntz space having no complement in 
Author(s):
Ihab
Al
Alam
Journal:
Proc. Amer. Math. Soc.
136
(2008),
193-201.
MSC (2000):
Primary 41A10, 41A17;
Secondary 46B20, 46E15
Posted:
October 11, 2007
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Abstract:
in ![$ C([0,1])$](/proc/2008-136-01/S0002-9939-07-09090-9/gif-abstract0/img1.gif) . In the present paper, we prove that there is a Müntz space not complemented in ![$ L_{1}([0,1])$](/proc/2008-136-01/S0002-9939-07-09090-9/gif-abstract0/img2.gif) .
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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:
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
Posted:
October 11, 2007
Communicated by:
Nicole Tomczak-Jaegermann
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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