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A Müntz space having no complement in  |
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| Authors: | 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 |
| Abstract: | in ![$ C([0,1])$](http://www.ams.org/proc/2008-136-01/S0002-9939-07-09090-9/gif-abstract0/img1.gif){kind=small} . In the present paper, we prove that there is a Müntz space not complemented in ![$ L_{1}([0,1])$](http://www.ams.org/proc/2008-136-01/S0002-9939-07-09090-9/gif-abstract0/img2.gif){kind=small} . |
| Keywords: | M" {u}ntz spaces, complementation, Schauder basis |
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